An Expansion of the Bessel-Maitland Function and its Associated Properties

Authors

  • Shahid Mubeen Department of Mathematics, University of Sargodha, Sargodha, Pakistan
  • Iqra Nayab Department of Mathematics, University of Lahore, Lahore, Pakistan

Keywords:

Bessel-Maitland, hypergeometric function, Pochhammer symbol, Integral transform

Abstract

Certain interesting progress inspired like as generalized Pochhammer symbols and extension of the hypergeometric function in special functions, we consider an extension of the Bessel-Maitland (BM) function  express in terms of extended Pochhammer symbol. Consciously, we establish special properties, relations and checked the behavior of higher order differentials of the state function extension of generalized (BM-IV) function. Also, present the integral representation of main function  and obtained the key results.

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Published

2023-12-15