Some Families of the Eulerian Integrals Involving Generalized Hypergeometric Functions

Eulerian Integrals Involving Generalized Hypergeometric Functions

  • Shoukat Ali Government Engineering College Bikaner
  • Deepak Kumar Government Engineering College Bikaner
  • Subrat Parida Pondicherry University-A Central University
  • Sunil Dutt Purohit Rajasthan Technical University, Kota

Resumo

In this paper, we established a family of unified Eulerian integrals involving generalized hypergeometric function by employing generalized summation theorems for the series $_{3}F_{2}$ such as generalized Watson's theorem, generalized Dixon's theorem and generalized Whipple's theorem. Various special cases are deduced as consequences of our main theorems.

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Publicado
2025-12-29
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Artigos