In this work, we examine integral equations involving the products of generalized extended Mittag-Leffler function, I-function and incomplete I-function. By using the Mellin-transform, the results are obtained. The integral equations discussed here can be used to study a broad class of known integral equations, some of which are new, that have previously been dispersed throughout the literature. Several simpler special functions are considered as particular cases with integral equations.

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On the Generalized Fredholm Type Integral Equations Pertaining to Product of Special Functions

  • Jagdev Singh,
  • Arun Sahu

摘要

In this work, we examine integral equations involving the products of generalized extended Mittag-Leffler function, I-function and incomplete I-function. By using the Mellin-transform, the results are obtained. The integral equations discussed here can be used to study a broad class of known integral equations, some of which are new, that have previously been dispersed throughout the literature. Several simpler special functions are considered as particular cases with integral equations.