GENERALIZED THREE CLASSES OF MIXED TYPE DOUBLE BERNOULLI- GEGENBAUER-GOULD AND HOPPER POLYNOMIALS
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 42
DOI: https://doi.org/10.56827/SEAJMMS.2024.2002.6
Author :
M. A. Pathan (Department of Mathematics, Aligarh Muslim University, Aligarh - 202002, Uttar Pradesh, INDIA)
Hemant Kumar (D. A. V. Postgraduate College, Kanpur - 208001, Uttar Pradesh, INDIA)
Abstract
In this article, we investigate a three classes of generalized mixed type double Bernoulli-Gegenbauer-Gould and Hopper (BGG-H) polynomials. Some special polynomials of the generalized mixed type Bernoulli-Gegenbauer polynomials are discussed to obtain certain results and relations of our double (BGG-H) polynomials in terms of known and unknown functions.~Some inequalities and limiting cases of double (BGG-H) polynomials are presented and then on using them we construct a matrix representation and obtain integral estimates.
Keywords and Phrases
Bernoulli's polynomials, Gegenbauer polynomials, Gould and Hopper's polynomials, double Bernoulli-Gegenbauer-Gould and Hopper polynomials, matrix representations, integral estimates.
A.M.S. subject classification
11B83, 11C08, 33B10, 33B99.
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