Vol. 35 (2025)
Articles

On certain integral formulas involving the generalized Lommel-Wright function and Jacobi polynomial

S.C. Pandey
Faculty of Mathematics and Computing, Department of Mathematics and Statistics, Banasthali Vidyapith, Niwai-304022, Rajasthan, India.
S. Tiwari
Faculty of Mathematics and Computing, Department of Mathematics and Statistics, Banasthali Vidyapith, Niwai-304022, Rajasthan, India.

Publicado 2024-06-21

Palabras clave

  • Jacobi polynomial,
  • Bessel function,
  • Srivastava and Daoust function,
  • Generalized Lommel-Wright function

Resumen

The main aim of the present paper is to derive some integral formulas
involving a product of the generalized Lommel-Wright function and the classical Jacobi polynomial. The results obtained in the present paper are expressed in terms of well-known Srivastava and Daoust functions. Besides evaluating some novel forms of finite integrals, several other interesting particular cases, hitherto scattered in the literature, are also determined in the present investigation.

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