Formulae bringing to light from certain classes of numbers and polynomials
DOI10.1007/s13398-022-01370-xzbMath1503.11048OpenAlexW4310276169MaRDI QIDQ2681976
Yilmaz Simsek, Neslihan Kilar, Daeyeoul Kim
Publication date: 31 January 2023
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13398-022-01370-x
generating functionsChebyshev polynomialstrigonometric functionsStirling numbersBernoulli numbersEuler numberstelephone numbersHermite type polynomials
Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Real polynomials: analytic properties, etc. (26C05) Exponential and trigonometric functions (33B10)
Cites Work
- Special functions related to Dedekind-type DC-sums and their applications
- Generalized Hermite polynomials and supergaussian forms
- Generating functions for generating trees
- Multidimensional extensions of the Bernoulli and Appell polynomials
- New computational formulas for special numbers and polynomials derived from applying trigonometric functions to generating functions
- Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials
- Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and \(p\)-adic integral approach
- Hermite base Bernoulli type polynomials on the umbral algebra
- Relations for Bernoulli–Barnes numbers and Barnes zeta functions
- Computational formulas and identities for new classes of Hermite‐based Milne–Thomson type polynomials: Analysis of generating functions with Euler's formula
- Sine and cosine types of generating functions
- A special approach to derive new formulas for some special numbers and polynomials
- On the multidimensional zeta functions associated with theta functions, and the multidimensional Appell polynomials
- ON A FORMULA FOR THE REGULARIZED DETERMINANT OF ZETA FUNCTIONS WITH APPLICATION TO SOME DIRICHLET SERIES
- On Recursions Connected With Symmetric Groups I
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