q-LAPLACE TRANSFORM FOR PRODUCT OF GENERAL CLASS OF q-POLYNOMIALS AND q-ANALOGUE OF I-FUNCTION

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Abstract

In this paper, the basic analogue of the Laplace transforms involving the product of a general class of q-polynomials along with q-analogue of Fox’s H-function and q-analogue of I -function is evaluated. Limiting cases of the main outcomes are also evaluated. The paper shows a large variety of outcomes that can be achieved.

Original languageEnglish
Pages (from-to)21-28
Number of pages8
JournalJournal of Inequalities and Special Functions
Volume11
Issue number3
StatePublished - 2020

Keywords

  • Fox's H-function and I-function
  • General class of q-polynomials
  • q-analogues of Meijer's G-function
  • q-Laplace transforms

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