FINITE SUMS INVOLVING TRIGONOMETRIC FUNCTIONS AND SPECIAL POLYNOMIALS: ANALYSIS OF GENERATING FUNCTIONS AND p-ADIC INTEGRALS

By using trigonometric and generating functions, some formulas and relations involving sums of powers of consecutive positive integers and certain combinatorial sums are derived. By applying the derivative operator to some certain families of special functions and finite sums involving trigonometric...

Full description

Saved in:
Bibliographic Details
Published in:Applicable analysis and discrete mathematics 2024-01, Vol.18 (2), p.452-476
Main Authors: Kilar, Neslihan, Bayad, Abdelmejid, Simsek, Yilmaz
Format: Article
Language:English
Subjects:
Mathematics
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:By using trigonometric and generating functions, some formulas and relations involving sums of powers of consecutive positive integers and certain combinatorial sums are derived. By applying the derivative operator to some certain families of special functions and finite sums involving trigonometric functions, many novel relations related to the special numbers and polynomials are obtained. Moreover, by applying p-adic integrals to these finite sums, some p-adic integral representations of trigonometric functions are found.
ISSN:1452-8630
2406-100X
DOI:10.2298/AADMxxxxxxxx