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The p-deformed Generalized Humbert Polynomials and Their Properties

Rajesh V. Savalia|B. I. Dave
경북대학교 자연과학대학 수학과|2020.12|Kyungpook Mathematical Journal|제60권 제4호|pp. 731-752|DOI 10.5666/KMJ.2020.60.4.731

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키워드

differential equationp-Gamma functionp-Pochhammer symbolgenerating function relationsmixed relations
주제분류수학

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.

Abstract

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.

참고문헌 (20)

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관련 논문AI추천

ON MATRIX POLYNOMIALS ASSOCIATED WITH HUMBERT POLYNOMIALSFadhl Al-Sarahi, Maged G. Bin-Saad, M.A. Pathan한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제3호A family of associated sequences and their representations by Appell polynomials김대산, 김태균, 김한영, 이현석, 장이채장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제4호A $p$-deformed $q$-inverse pair and associated polynomials including Askey schemeRajesh V. Savalia대한수학회 · 대한수학회논문집2019 · 제34권 제4호Finding results for certain relatives of the Appell polynomialsMahvish Ali, Subuhi Khan대한수학회 · 대한수학회보2019 · 제56권 제1호On the Hermite based Genocchi polynomialsBURAK KURT, YILMAZ SIMSEK장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제1호A NEW CLASS OF PARTIALLY DEGENERATE LAGUERRE-BASED HERMITE-GENOCCHI POLYNOMIALSDIVESH SRIVASTAVA, M. GHAYASUDDIN, Waseem A. Khan장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제1호

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