Identities and relations for special numbers and polynomials: An approach to trigonometric functions

DOI10.2298/FIL2002535KzbMath1499.05037MaRDI QIDQ5865626

Neslihan Kilar, Yilmaz Simsek

Publication date: 9 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

Stirling numbersEuler numbersBernoulli numbers and polynomialsEuler polynomialscombinatorial numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Integral methods for summability (40C10) Real polynomials: analytic properties, etc. (26C05)

Related Items (1)

New computational formulas for special numbers and polynomials derived from applying trigonometric functions to generating functions

Cites Work

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• Some array type polynomials associated with special numbers and polynomials
• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• Combinatorial trigonometry with Chebyshev polynomials
• Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
• Some identities for Euler and Bernoulli polynomials and their zeros
• The special functions and their approximations. Vol. I, II
• Some identities and congruences involving a certain family of numbers
• Computation methods for combinatorial sums and Euler-type numbers related to new families of numbers
• Central factorial numbers; their main properties and some applications.
• New families of special numbers for computing negative order Euler numbers and related numbers and polynomials

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