9 papers
Derivatives of Srivastava's hypergeometric functions with respect to their parameters
Ayman Shehata, Recep Sahin, Oguz Yagcl +1
This paper studies derivatives with respect to the parameters of Srivastava triple hypergeometric functions HA, HB and HC. Using basic properties of the Gamma function and Pochhamm…
Derivatives of Humbert confluent hypergeometric functions with respect to their parameters
Ayman Shehata, Recep Sahin, Oguz Yagcı +1
Humbert confluent hypergeometric functions of two variables arise in many problems of mathematical physics and applied analysis, yet their behavior with respect to parameters has n…
On q-Bessel matrix polynomials
Ayman Shehata, M. Tawfik, Ayman M. Mahmoud +1
The aim of the present study is to establish some properties for q-Bessel matrix polynomials such as several q-differential matrix equation, q-differential matrix relations and q-r…
An extension of basic Humbert hypergeometric functions Φ1, Φ2 and Φ3
Ayman Shehata
Given the growing quantity of proposals and works of basic hypergeometric functions in the scope of -calculus, it is important to introduce a systematic classification of -ca…
On extension of the function and their -calculus
Ayman Shehata, Dinesh Kumar
In this article, we investigate and establish some properties including analytic properties, contiguous relations, differential properties, differential operators, an expansion for…
Study of dynamical symmetrietry algebra of -Humbert function
Ayman Shehata, Dinesh Kumar
The study is devoted to the construction of dynamical symmetry algebra of confluent hypergeometric function and -Humbert function and to derive some generating relati…