Computational and implementational analysis of generating functions for higher order combinatorial numbers and polynomials attached to Dirichlet characters

DOI10.1002/mma.8092OpenAlexW4210765362MaRDI QIDQ6141660

Irem Kucukoglu

Publication date: 20 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8092

zbMATH Keywords

generating functionsStirling numbersDirichlet character\(p\)-adic \(q\)-integralgroup homomorphismApostol-Bernoulli numbers and polynomialscombinatorial numbersSimsek numbers and polynomialsmathematica implementationRaabe-type multiplication formulaspecial finite character sums

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Computation of special functions and constants, construction of tables (65D20) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Special sequences and polynomials (11B83) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Character groups and dual objects (43A40) Exponential sums and character sums (11L99)

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