Dr. Ayman Shehata Mohammed Ahmed Osman El-Shazly

Associate Professor
Department of Mathematics , Faculty of Science, Assiut University, Assiut 71516, Egypt.

Highest Degree
Ph.D. in Mathematical Analysis from Assuit University, Egypt

My URL
https://livedna.org/20.17478

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Biography

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.

Area of Interest:

Mathematics
Special Functions
Functional Analysis
Mathematical Analysis
Pure Mathematics

Selected Publications

  1. u00c7ekim, B., R. Dwivedi, V. Sahai and A. Shehata, 2020. Certain integral representations, transformation formulas and summation formulas related to humbert matrix functions. Bull. Braz. Math. Soc., New Ser., 10.1007/s00574-020-00198-6.
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  2. Shehata, A., 2020. Certain generating matrix functions of Legendre matrix polynomials using lie algebraic method. Kragujevac J. Math., 44: 353-368.
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  3. Shehata, A. and S.I. Moustafa, 2020. Some new results for horn’s hypergeometric functions u03b3 1 and u03b3 2. J. Math. Comput. Sci., 23: 26-35.
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  4. Karapinar, E., S.I. Moustafa, A. Shehata and R.P. Agarwal, 2020. Fractional hybrid differential equations and coupled fixed-point results for u03b1-admissible fu03c81,u03c82-contractions in m-metric spaces. Discrete Dyn. Nature Soc., 10.1155/2020/7126045.
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  5. Upadhyaya, L.M. and A. Shehata, 2018. On functions of a single matrix argument-iii. J. Bull. Pure Applied Sci. Sect. E-Math Stat., 37: 375-382.
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  6. Srivastava, H.M. and A. Shehata, 2018. A family of new q-extensions of the humbert functions. Eur. J. Math. Sci., 4: 13-26.
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  7. Shehata, A., 2018. Some new results for struve matrix functions. Milan J. Math., 86: 81-96.
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  8. Shehata, A., 2018. On new extensions of the generalized Hermite matrix polynomials. Acta Comment. Univ. Tartuensis Math., 22: 203-222.
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  9. Shehata, A., 2018. Lie algebra and laguerre matrix polynomials of one variable. Gen. Lett. Math., 4: 1-5.
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  10. Shehata, A., 2018. Inequalities for tricomi functions. Malaya J. Mat., 6: 344-348..

  11. Shehata, A., 2018. Extended bessel matrix functions. Math. Sci. Applic. E-Notes, 6: 1-11.
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  12. Shehata, A., 2018. Certain generating matrix relations of generalized Bessel matrix polynomials from the view point of Lie algebra method. Bull. Iran. Math. Soc., 44: 1025-1043.
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  13. Shehata, A., 2017. Some relations on the generalized Bessel matrix polynomials. Asian J. Math. Comput. Res., 17: 1-25.
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  14. Shehata, A., 2017. Some relations on generalized Rice's matrix polynomials. Applic. Applied Math.: Int. J., 12: 367-391.
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  15. Shehata, A., 2017. Some properties associated with the bessel matrix functions. Konuralp J. Math., 5: 24-35.
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  16. Shehata, A., 2017. Certain properties of Konhauser matrix polynomials via lie algebra techniques. Bol. Soc. Matem. Mexicana, 10.1007/s40590-019-00232-8.
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  17. Shehata, A., 2017. Certain generating relations of Konhauser matrix polynomials from the view point of Lie algebra method. Univ. Politech. Buchar. Sci. Bull. Ser. A Appl. Math. Phys., 79: 123-136.
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  18. Shehata, A., 2017. A note on two-variable Lommel matrix functions. Asian-Eur. J. Math. 10.1142/S1793557118500419.
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  19. Shehata, A. and L.M. Upadhyaya, 2017. Some relations satisfied by Hermite-Hermite matrix polynomials. Math. Bohemica, 38: 145-162.
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  20. Ayman, S., 2017. Extended biorthogonal matrix polynomials. Math. Moravica, 21: 27-50.
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  21. Shehata, A., 2016. Some relations on Konhauser matrix polynomials. Miskolc Math. Notes, 17: 605-633.
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  22. Shehata, A., 2016. Some relations on Humbert matrix polynomials. Math. Bohemica, 141: 407-429.
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  23. Shehata, A., 2016. On modified Laguerre matrix polynomials. J. Nat. Sci. Math., 8: 153-166.
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  24. Shehata, A., 2016. A new kind of Legendre matrix polynomials. Gazi Univ. J. Sci., 29: 435-457.
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  25. Shehata, A., 2016. A new extension of Bessel matrix functions. Southeast Asian Bull. Math., 40: 265-288.
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  26. Shehata, A. and B. Cekim, 2016. Some relations on Hermite-Hermite matrix polynomials. Univ. Politechnica Bucharest Scient. Bull. Ser. A: Applied Math. Phys., 78: 181-194.

  27. Mohammed, A.S., R.A. Rashwan, M.S. Metwally and M.T. Mohamed, 2016. On composite l(m, n)-Kummer's matrix functions of two complex variables. Thai J. Math., 14: 69-81.
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  28. Upadhyaya, L.M. and A. Shehata, 2015. A new extension of generalized Hermite matrix polynomials. Bull. Malaysian Math. Sci. Soc., 38: 165-179.
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  29. Shehata, A., 2015. Some relations on Laguerre matrix polynomials. Malaysian J. Math. Sci., 9: 443-462.

  30. Shehata, A., 2015. Some relations on Gegenbauer matrix polynomials. Rev. Comput. Eng. Res., 2: 1-21.
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  31. Shehata, A., 2015. Some inequalities for special functions. J. Inequalities Applic. 10.1186/s13660-015-0684-6.
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  32. Shehata, A., 2015. On a new family of the extended generalized Bessel-type matrix polynomials. Mitteilungen Klosterneuburg J., 65: 100-121.
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  33. Shehata, A., 2015. New kinds of hypergeometric matrix functions. Br. J. Math. Comput. Sci., 5: 92-102.
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  34. Shehata, A., 2015. Connections between Legendre with Hermite and Laguerre matrix polynomials. Gazi Univ. J. Sci., 28: 221-230.
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  35. Shehata, A. and S. Khan, 2015. On Bessel-Maitland matrix function. J. Math., 57: 93-98.
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  36. Shehata, A. and R. Bhukya, 2015. Some properties of Hermite matrix polynomials. J. Int. Math. Virtual Inst., 5: 1-17.
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  37. Metwally, M.S., M.T. Mohamed and A. Shehata, 2015. On Chebyshev matrix polynomials, matrix differential equations and their properties. Afrika Matematika, 26: 1037-1047.
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  38. Shehata, A., 2014. On Rice's matrix polynomials. Afrika Matematika, 25: 757-777.
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  39. Shehata, A., 2014. On Rainville's matrix polynomials. Sylwan J., 158: 158-178.
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  40. Shehata, A., 2014. Inequalities for Humbert functions. J. Egypt. Math. Soc., 22: 14-18.
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  41. Khammash, G.S. and A. Shehata, 2014. Reply to comment on “on humbert matrix polynomials of two variables. Adv. Pure Math., 4: 324-325.
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  42. Batahan, R.S. and A. Shehata, 2014. Inequalities for some functions are related to the confluent hypergeometric function. J. Andalus Social Applied Sci., 8: 56-64.
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  43. Batahan, R.S. and A. Shehata, 2014. Hermite-Chebyshev polynomials with their generalized form. J. Math. Sci.: Adv. Applic., 29: 47-59.
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  44. Shehata, A., 2013. Certain pl(m, n)-Kummer matrix function of two complex variables under differential operator. Applied Math., 4: 91-96.
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  45. Shehata, A., 2013. A Study of Some Special Functions and Polynomials. Lambert Academic Publishing, Germany, ISBN-13: 978-3659384578, Pages: 64.

  46. Rashwan, R.A., M.S. Metwally, M.T. Mohamed and A. Shehata, 2013. Certain Kummer's matrix function of two complex variables under certain differential and integral operators. Thai J. Math., 11: 725-740.

  47. Metwally, M.S. and A. Shehata, 2013. A study of a new properties of Hermite-Hermite matrix polynomials and their applications. Int. J. Math. Sci. Eng. Applic., 7: 19-33.

  48. Khammash, G.S. and A. Shehata, 2013. A new generating function of Chebyshev polynomials. Int. J. Eng. Applied Sci., 4: 36-39.
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  49. Shehata, A., H.E. Hammad and A.H.A. Salama, 2012. Solutions of Some Problems in Mechanics of Elastic Media: Theory of Elasticity and their Applications. Lambert Academic Publishing, Germany, ISBN-13: 978-3-8473-3891-8, Pages: 132.

  50. Shehata, A., 2012. On pseudo Legendre matrix polynomials. Int. J. Math. Sci. Eng. Applic., 6: 251-258.
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  51. Shehata, A., 2012. A new extension of Hermite-Hermite matrix polynomials and their properties. Thai J. Math., 10: 433-444.

  52. Khammash, G.S. and A. Shehata, 2012. On Humbert matrix polynomials. Asian J. Curr. Eng. Math., 1: 232-240.
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  53. Khammash, G.S. and A. Shehata, 2012. On Humbert matrix polynomials of two variables. Adv. Pure Math., 2: 423-427.
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  54. Khammash, G.S. and A. Shehata, 2012. A study on some properties of Legendre polynomials and integral transforms. Int. J. Open Probl. Comput. Sci. Math., 5: 1-6.
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  55. Khammash, G.S. and A. Shehata, 2012. A new class of generating functions for Chebyshev polynomials. J. Interdisciplin. Math., 15: 373-385.
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  56. Upadhyaya, L.M. and A. Shehata, 2011. On Legendre matrix polynomials and its applications. Int. Trans. Math. Sci. Comput., 4: 291-310.
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  57. Shehata, A., M. Saleh and M. Tawfik, 2011. A Study of Some Special Functions and Polynomials of Complex Variables: Advanced Study and Developing Some Topics in Complex Analysis, Special Functions and their Applications. Lambert Academic Publishing, Germany, ISBN-13: 978-3846538289, Pages: 148.

  58. Shehata, A., 2011. On p and q-Horn's matrix function of two complex variables. Applied Math., 2: 1437-1442.
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  59. Shehata, A., 2011. On Tricomi and Hermite-Tricomi matrix functions of complex variable. Commun. Math. Applic., 2: 97-109.
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  60. Mohamed, M.T. and A. Shehata, 2011. A study of Appell's matrix functions of two complex variables and some properties. Adv. Applic. Math. Sci., 9: 23-33.

  61. Khammash, G.S., M.T. Mohamed and A. Shehata, 2011. On pseudo Chebyshev matrix polynomials of two variables. Int. J. Math. Arch., 2: 1022-1026.
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  62. Metwally, M.S., M.T. Mohamed and A. Shehata, 2010. On pseudo Hermite matrix polynomials of two variables. Banach J. Math. Anal., 4: 169-178.
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  63. Metwally, M.S., M.T. Mohamed and A. Shehata, 2009. Generalizations of two-index two-variable Hermite matrix polynomials. Demonstratio Math., 42: 687-701.
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  64. Metwally, M.S., M.T. Mohamed and A. Shehata, 2008. On Hermite-Hermite matrix polynomials. Math. Bohemica, 133: 421-434.
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Member since September, 2017