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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 relatio…
Certain new formulas for bibasic Humbert hypergeometric functions and
Ayman Shehata
The main aim of the present work is to give some interesting the -analogues of various -recurrence relations, -recursion formulas, -partial derivative relations, -in…
On Bibasic Humbert hypergeometric function
Ayed Aledamat, Ayman Shehata
The main aim of this work is to derive the -recurrence relations, -partial derivative relations and summation formula of bibasic Humbert hypergeometric function on two…
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…
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…
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…
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…