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Ayman Shehata Mohammed Ahmed Osman El-Shazly

Ayman Shehata Mohammed Ahmed Osman El-Shazly

LiveDNA ID: 20.17478
66 Publications
0 Editorial Roles
0 Projects

About

Professional Summary

The field of interests are Mathematical, Complex, Functional Analysis, especially of Special Functions, Multiple hypergeometric series, Generalized Functions, Functions of Matrix Arguments, Orthogonal Matrix Polynomials, q- Analysis and their applications.

Education

Academic Background
  • Ph.D. Assuit University, Egypt Mathematical Analysis | Completed: 2009

Publications (66)

Selected Scholarly Contributions
Certain generating matrix functions of Charlier matrix polynomials using Weisner’s group theoretic method
Ayman Shehata
Afrika Matematika | Journal Article
10.1007/s13370-026-01445-7
Crossref
2026
Certain new formulas for bibasic Humbert hypergeometric functions $$\Psi _{1}$$ and $$\Psi _{2}$$
Ayman Shehata
Indian Journal of Pure and Applied Mathematics | Journal Article
10.1007/s13226-025-00790-w
Crossref
2025
Generalized Mittag-Leffler-type function of arbitrary order and its properties related to integral transforms and fractional calculus
Bin-Saad Maged, Younis Jihad, Shehata Ayman, El Salam Mohamed A. Abd
Boletim da Sociedade Paranaense de Matemática | Journal Article
10.5269/bspm.75746
Crossref
2025
On certain new formulas for the Horn’s hypergeometric functions $${\mathcal {G}}_{1}$$, $${\mathcal {G}}_{2}$$ and $${\mathcal {G}}_{3}$$
Ayman Shehata, Shimaa I. Moustafa
Afrika Matematika | Journal Article
10.1007/s13370-022-00996-9
Crossref
2022
Certain properties of Konhauser matrix polynomials via Lie Algebra techniques
Ayman Shehata
Boletín de la Sociedad Matemática Mexicana | Journal Article
10.1007/s40590-019-00232-8
Crossref
2020
On the p,q-Humbert Functions from the View Point of the Generating Function Method
Ayman Shehata
Journal of Function Spaces | Journal Article
10.1155/2020/4794571
Crossref
2020
Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for α -Admissible F ψ 1 , ψ 2 − Contractions in M − Metric Spaces
Erdal Karapinar, Shimaa I. Moustafa, Ayman Shehata, Ravi P. Agarwal
Discrete Dynamics in Nature and Society | Journal Article
10.1155/2020/7126045
Crossref
2020
On basic Horn hypergeometric functions $\mathbf{H}_{3}$ and $\mathbf{H}_{4}$
Ayman Shehata
Advances in Difference Equations | Journal Article
10.1186/s13662-020-03056-3
Crossref
2020
L -Simulation Functions over b -Metric-Like Spaces and Fractional Hybrid Differential Equations
Shimaa I. Moustafa, Ayman Shehata
Journal of Function Spaces | Journal Article
10.1155/2020/4650761
Crossref
2020
Some new results for horn’s hypergeometric functions u03b3 1 and u03b3 2.
Shehata, A. and S.I. Moustafa,
J. Math. Comput. Sci., | Journal Article
10.22436/jmcs.023.01.03
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2020
Certain generating matrix functions of Legendre matrix polynomials using lie algebraic method.
Shehata, A.,
Kragujevac J. Math., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2020
Inequalities for Tricomi functions
Ayman Shehata
Malaya Journal of Matematik | Journal Article
10.26637/mjm0602/0007
Crossref
2018
On functions of a single matrix argument-iii.
Upadhyaya, L.M. and A. Shehata,
J. Bull. Pure Applied Sci. Sect. E-Math Stat., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2018
A family of new q-extensions of the humbert functions.
Srivastava, H.M. and A. Shehata,
Eur. J. Math. Sci., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2018
On new extensions of the generalized Hermite matrix polynomials.
Shehata, A.,
Acta Comment. Univ. Tartuensis Math., | Journal Article
10.12697/ACUTM.2018.22.17
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2018
Certain generating matrix relations of generalized Bessel matrix polynomials from the view point of Lie algebra method.
Shehata, A.,
Bull. Iran. Math. Soc., | Journal Article
10.1007/s41980-018-0067-0
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2018
Some new results for struve matrix functions.
Shehata, A.,
Milan J. Math., | Journal Article
10.1007/s00032-018-0280-6
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2018
Extended bessel matrix functions.
Shehata, A.,
Math. Sci. Applic. E-Notes, | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2018
Inequalities for tricomi functions.
Shehata, A.,
Malaya J. Mat., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2018
Lie algebra and laguerre matrix polynomials of one variable.
Shehata, A.,
Gen. Lett. Math., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2018
Certain generating relations of Konhauser matrix polynomials from the view point of Lie algebra method.
Shehata, A.,
Univ. Politech. Buchar. Sci. Bull. Ser. A Appl. Math. Phys., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2017
Extended biorthogonal matrix polynomials.
Ayman, S.,
Math. Moravica, | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2017
Some properties associated with the bessel matrix functions.
Shehata, A.,
Konuralp J. Math., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2017
Some relations on generalized Rice's matrix polynomials.
Shehata, A.,
Applic. Applied Math.: Int. J., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2017
Some relations on the generalized Bessel matrix polynomials.
Shehata, A.,
Asian J. Math. Comput. Res., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2017
Some relations satisfied by Hermite-Hermite matrix polynomials.
Shehata, A. and L.M. Upadhyaya,
Math. Bohemica, | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2017
Some relations on Humbert matrix polynomials.
Shehata, A.,
Math. Bohemica, | Journal Article
10.21136/MB.2016.0019-14
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2016
Some relations on Konhauser matrix polynomials.
Shehata, A.,
Miskolc Math. Notes, | Journal Article
10.18514/MMN.2016.1126
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2016
A new kind of Legendre matrix polynomials.
Shehata, A.,
Gazi Univ. J. Sci., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2016
On modified Laguerre matrix polynomials.
Shehata, A.,
J. Nat. Sci. Math., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2016
A new extension of Bessel matrix functions.
Shehata, A.,
Southeast Asian Bull. Math., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2016
Some relations on Hermite-Hermite matrix polynomials.
Shehata, A. and B. Cekim,
Univ. Politechnica Bucharest Scient. Bull. Ser. A: Applied Math. Phys., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2016
On composite l(m, n)-Kummer's matrix functions of two complex variables.
Mohammed, A.S., R.A. Rashwan, M.S. Metwally and M.T. Mohamed,
Thai J. Math., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2016
Some relations on Laguerre matrix polynomials.
Shehata, A.,
Malaysian J. Math. Sci., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2015
Connections between Legendre with Hermite and Laguerre matrix polynomials.
Shehata, A.,
Gazi Univ. J. Sci., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2015
Some relations on Gegenbauer matrix polynomials.
Shehata, A.,
Rev. Comput. Eng. Res., | Journal Article
10.18488/journal.76/2015.2.1/76.1.1.21
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2015
On a new family of the extended generalized Bessel-type matrix polynomials.
Shehata, A.,
Mitteilungen Klosterneuburg J., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2015
New kinds of hypergeometric matrix functions.
Shehata, A.,
Br. J. Math. Comput. Sci., | Journal Article
10.9734/BJMCS/2015/11492
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2015
On Bessel-Maitland matrix function.
Shehata, A. and S. Khan,
J. Math., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2015
Some properties of Hermite matrix polynomials.
Shehata, A. and R. Bhukya,
J. Int. Math. Virtual Inst., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2015
On Chebyshev matrix polynomials, matrix differential equations and their properties.
Metwally, M.S., M.T. Mohamed and A. Shehata,
Afrika Matematika, | Journal Article
10.1007/s13370-014-0262-y
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2015
A new extension of generalized Hermite matrix polynomials.
Upadhyaya, L.M. and A. Shehata,
Bull. Malaysian Math. Sci. Soc., | Journal Article
10.1007/s40840-014-0010-3
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2015
Reply to comment on “on humbert matrix polynomials of two variables.
Khammash, G.S. and A. Shehata,
Adv. Pure Math., | Journal Article
10.4236/apm.2014.47043
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2014
On Rainville's matrix polynomials.
Shehata, A.,
Sylwan J., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2014
Inequalities for Humbert functions.
Shehata, A.,
J. Egypt. Math. Soc., | Journal Article
10.1016/j.joems.2013.04.012
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2014
On Rice's matrix polynomials.
Shehata, A.,
Afrika Matematika, | Journal Article
10.1007/s13370-013-0149-3
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2014
Hermite-Chebyshev polynomials with their generalized form.
Batahan, R.S. and A. Shehata,
J. Math. Sci.: Adv. Applic., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2014
Inequalities for some functions are related to the confluent hypergeometric function.
Batahan, R.S. and A. Shehata,
J. Andalus Social Applied Sci., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2014
Certain pl(m, n)-Kummer matrix function of two complex variables under differential operator.
Shehata, A.,
Applied Math., | Journal Article
10.4236/am.2013.41016
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2013
A new generating function of Chebyshev polynomials.
Khammash, G.S. and A. Shehata,
Int. J. Eng. Applied Sci., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2013
A study of a new properties of Hermite-Hermite matrix polynomials and their applications.
Metwally, M.S. and A. Shehata,
Int. J. Math. Sci. Eng. Applic., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2013
Certain Kummer's matrix function of two complex variables under certain differential and integral operators.
Rashwan, R.A., M.S. Metwally, M.T. Mohamed and A. Shehata,
Thai J. Math., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2013
On pseudo Legendre matrix polynomials.
Shehata, A.,
Int. J. Math. Sci. Eng. Applic., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2012
A new extension of Hermite-Hermite matrix polynomials and their properties.
Shehata, A.,
Thai J. Math., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2012
On Humbert matrix polynomials of two variables.
Khammash, G.S. and A. Shehata,
Adv. Pure Math., | Journal Article
10.4236/apm.2012.26064
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2012
On Humbert matrix polynomials.
Khammash, G.S. and A. Shehata,
Asian J. Curr. Eng. Math., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2012
A study on some properties of Legendre polynomials and integral transforms.
Khammash, G.S. and A. Shehata,
Int. J. Open Probl. Comput. Sci. Math., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2012
A new class of generating functions for Chebyshev polynomials.
Khammash, G.S. and A. Shehata,
J. Interdisciplin. Math., | Journal Article
10.1080/09720502.2012.10700805
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2012
On Tricomi and Hermite-Tricomi matrix functions of complex variable.
Shehata, A.,
Commun. Math. Applic., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2011
On p and q-Horn's matrix function of two complex variables.
Shehata, A.,
Applied Math., | Journal Article
10.4236/am.2011.212203
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2011
On Legendre matrix polynomials and its applications.
Upadhyaya, L.M. and A. Shehata,
Int. Trans. Math. Sci. Comput., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2011
On pseudo Chebyshev matrix polynomials of two variables.
Khammash, G.S., M.T. Mohamed and A. Shehata,
Int. J. Math. Arch., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2011
A study of Appell's matrix functions of two complex variables and some properties.
Mohamed, M.T. and A. Shehata,
Adv. Applic. Math. Sci., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2011
On pseudo Hermite matrix polynomials of two variables.
Metwally, M.S., M.T. Mohamed and A. Shehata,
Banach J. Math. Anal., | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2010
Generalizations of two-index two-variable Hermite matrix polynomials.
Metwally, M.S., M.T. Mohamed and A. Shehata,
Demonstratio Math., | Journal Article
10.1515/dema-2013-0207
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2009
On Hermite-Hermite matrix polynomials.
Metwally, M.S., M.T. Mohamed and A. Shehata,
Math. Bohemica, | Journal Article
Self Ayman Shehata Mohammed Ahmed Osman El-Shazly
2008