Communications of the Korean Mathematical Society (대한수학회논문집)

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A GENERALIZATION OF THE LAGUERRE POLYNOMIALS

  • Ali, Asad (Department of Mathematics and Statistics University of Agriculture Faisalabad)
  • Received : 2020.06.18
  • Accepted : 2020.11.23
  • Published : 2021.04.30
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Abstract

The main aim of this paper is to introduce and study the generalized Laguerre polynomials and prove that these polynomials are characterized by the generalized hypergeometric function. Also we investigate some properties and formulas for these polynomials such as explicit representations, generating functions, recurrence relations, differential equation, Rodrigues formula, and orthogonality.

Keywords

Acknowledgement

The author express their sincere gratitude to Professor Junesang Choi and Muhammad Zafar Iqbal for useful discussions and invaluable advice. And also grateful to the editor and the referee for carefully reading the manuscript and for valuable comments and suggestions which greatly improved this paper. I have dedicated this paper to my parents whose constant encouragement has enabled me to do this work.

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