Generating functions for series involving higher powers of inverse binomial coefficients and their applications
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Publication:6178211
DOI10.1002/mma.9199zbMath1528.33003OpenAlexW4327814618MaRDI QIDQ6178211
Publication date: 18 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.9199
algorithmsplinegenerating functionrecurrence relationsfinite sumsderivative operatorinverse binomial coefficientsspecial functions and special numbers
Cites Work
- Multiple binomial sums
- Some summation formulas involving harmonic numbers and generalized harmonic numbers
- Combinatorial identities and inverse binomial coefficients
- Eulerian numbers and polynomials of higher order
- Recurrences for alternating sums of powers of binomial coefficients
- Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
- On some degenerate differential and degenerate difference operators
- Binomial Eulerian polynomials for colored permutations
- Generating functions for finite sums involving higher powers of binomial coefficients: analysis of hypergeometric functions including new families of polynomials and numbers
- A generalized inverse binomial summation theorem and some hypergeometric transformation formulas
- On the Lerch zeta function
- New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums
- Permutations and sequences with repetitions by number of increases
- Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals
- Computational formulas and identities for new classes of Hermite‐based Milne–Thomson type polynomials: Analysis of generating functions with Euler's formula
- New families of special numbers for computing negative order Euler numbers and related numbers and polynomials
- On an open problem of Simsek concerning the computation of a family of special numbers
- A Series transformation formula and related degenerate polynomials
- Generalized Exponential Euler Polynomials and Exponential Splines
- Explicit Formulas for Bernoulli Numbers
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