Finding Determinant Forms of Certain Hybrid Sheffer Sequences

Monairah Alansari, Mumtaz Riyasat, Subuhi Khan and Kaleem Raza Kazmi
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Monairah Alansari: Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Mumtaz Riyasat: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Subuhi Khan: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Kaleem Raza Kazmi: Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

Mathematics, 2019, vol. 7, issue 11, 1-16

Abstract: In this article, the integral transform is used to introduce a new family of extended hybrid Sheffer sequences via generating functions and operational rules. The determinant forms and other properties of these sequences are established using a matrix approach. The corresponding results for the extended hybrid Appell sequences are also obtained. Certain examples in terms of the members of the extended hybrid Sheffer and Appell sequences are framed. By employing operational rules, the identities involving the Lah, Stirling and Pascal matrices are derived for the aforementioned sequences.

Keywords: Sheffer sequences; extended hybrid Sheffer sequences; fractional operators; operational rules; Riordan matrix (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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