On a New Type Multivariable Hypergeometric Functions
Duriye Korkmaz Duzgun, Esra Erku\c{s} Duman
TL;DR
This paper introduces a new class of multivariable hypergeometric functions, explores their generating functions, and derives various multilinear and multilateral generating functions, including special cases.
Contribution
It defines a novel type of multivariable hypergeometric function and develops a comprehensive set of generating functions for these functions and their special cases.
Findings
New multivariable hypergeometric functions defined
Generated families of multilinear and multilateral generating functions
Special cases of these functions are also characterized
Abstract
In this paper, we define a new type multivariable hypergeometric function. Then, we obtain some generating functions for these functions. Furthermore, we derive various families of multilinear and multilateral generating functions for these multivariable hypergeometric functions and their special cases are also given.
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Taxonomy
TopicsMathematical functions and polynomials · Diverse Research Studies Overview · Fractional Differential Equations Solutions