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The p-deformed Generalized Humbert Polynomials and Their Properties

  • Savalia, Rajesh V. (Department of Mathematical Sciences, P. D. Patel Institute of Applied Sciences, Faculty of Applied Sciences, Charotar University of Science and Technology) ;
  • Dave, B.I. (Department of Mathematics, Faculty of Science, The Maharaja Sayajirao University of Baroda)
  • 투고 : 2019.09.10
  • 심사 : 2020.08.04
  • 발행 : 2020.12.31

초록

We introduce the p-deformation of generalized Humbert polynomials. For these polynomials, we derive the differential equation, generating function relations, Fibonacci-type representations, and recurrence relations and state the companion matrix. These properties are illustrated for certain polynomials belonging to p-deformed generalized Humbert polynomials.

키워드

과제정보

The authors express their sincere thanks to the reviewers and the editor-in-chief for their valuable suggestions for the improvement of the manuscript.

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