Polynomial perturbations of Euler's and Clausen's identities
Fuente:
arXiv
Saved in:
| Main Author: | Karp, Dmitrii |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On Askey's extension of Clausen's identity and its polynomial perturbation
by: Karp, Dmitrii, et al.
Published: (2026)
by: Karp, Dmitrii, et al.
Published: (2026)
Two closed-form evaluations for the generalized hypergeometric function ${}_4F_3(\frac1{16})$
by: Rathie, Arjun K., et al.
Published: (2023)
by: Rathie, Arjun K., et al.
Published: (2023)
A look at generalized trigonometric functions as functions of their two parameters and further new properties
by: Karp, Dmitrii, et al.
Published: (2024)
by: Karp, Dmitrii, et al.
Published: (2024)
On the application of a hypergeometric identity to generate generalized hypergeometric reduction formulas
by: González-Santander, J. L.
Published: (2025)
by: González-Santander, J. L.
Published: (2025)
On a $_2F_1\big(\frac{1}{4}\big)$-identity due to Gosper
by: Hakimoglu-Brown, Cetin
Published: (2026)
by: Hakimoglu-Brown, Cetin
Published: (2026)
On an identity by Ercolani, Lega, and Tippings
by: Yattselev, Maxim L.
Published: (2024)
by: Yattselev, Maxim L.
Published: (2024)
Extending the Meijer $G$-function
by: Karp, Dmitrii, et al.
Published: (2024)
by: Karp, Dmitrii, et al.
Published: (2024)
Summing Sneddon-Bessel series explicitly
by: Durán, Antonio J., et al.
Published: (2022)
by: Durán, Antonio J., et al.
Published: (2022)
A Ramanujan's hypergeometric transformation formula, its validity range and implications
by: Shpot, M. A.
Published: (2024)
by: Shpot, M. A.
Published: (2024)
Unimodality preservation by ratios of functional series and integral transforms
by: Karp, Dmitrii, et al.
Published: (2024)
by: Karp, Dmitrii, et al.
Published: (2024)
The Laguerre constellation of classical orthogonal Polynomials
by: Costas-Santos, Roberto S.
Published: (2025)
by: Costas-Santos, Roberto S.
Published: (2025)
Asymptotics of Saran's hypergeometric function $F_K$
by: Hang, Peng-Cheng, et al.
Published: (2024)
by: Hang, Peng-Cheng, et al.
Published: (2024)
On some Analytic Inequalities for Gauss Hypergeometric Functions via Gruss Discrete Inequality
by: Raissouli, Mustapha, et al.
Published: (2024)
by: Raissouli, Mustapha, et al.
Published: (2024)
Arithmetic Constraints on Hypergeometric Identities
by: Iwasaki, Katsunori, et al.
Published: (2026)
by: Iwasaki, Katsunori, et al.
Published: (2026)
Derivatives of Humbert confluent hypergeometric functions with respect to their parameters
by: Shehata, Ayman, et al.
Published: (2021)
by: Shehata, Ayman, et al.
Published: (2021)
Differentiation of integral Mittag-Leffler and integral Wright functions with respect to parameters
by: Apelblat, Alexander, et al.
Published: (2024)
by: Apelblat, Alexander, et al.
Published: (2024)
Integrals of products of four modified Bessel functions
by: Gaunt, Robert E.
Published: (2026)
by: Gaunt, Robert E.
Published: (2026)
Zeros of generalized hypergeometric polynomials via finite free convolution. Applications to multiple orthogonality
by: Martinez-Finkelshtein, Andrei, et al.
Published: (2024)
by: Martinez-Finkelshtein, Andrei, et al.
Published: (2024)
Jacobi-Piñeiro Multiple Orthogonal Polynomials on the simplex
by: Fernández, Lidia, et al.
Published: (2026)
by: Fernández, Lidia, et al.
Published: (2026)
Multiple Orthogonal Polynomials of two real variables
by: Fernández, Lidia, et al.
Published: (2024)
by: Fernández, Lidia, et al.
Published: (2024)
On Bivariate Jacobi Konhauser Polynomials
by: Özarslan, Mehmet Ali, et al.
Published: (2024)
by: Özarslan, Mehmet Ali, et al.
Published: (2024)
Darboux equivalence for matrix-valued orthogonal polynomials
by: Parisi, Ignacio Bono, et al.
Published: (2024)
by: Parisi, Ignacio Bono, et al.
Published: (2024)
Ladder operators for generalized Zernike or disk polynomials
by: Marriaga, Misael E.
Published: (2024)
by: Marriaga, Misael E.
Published: (2024)
Recurrence relations of Exceptional Laurent biorthogonal polynomials
by: Luo, Yu, et al.
Published: (2024)
by: Luo, Yu, et al.
Published: (2024)
Uniform asymptotic expansions for the zeros of parabolic cylinder functions
by: Dunster, T. M., et al.
Published: (2024)
by: Dunster, T. M., et al.
Published: (2024)
Generalized $f$-Eulerian polynomials: zeros and hypergeometric representations with applications
by: Karp, Dmitrii, et al.
Published: (2025)
by: Karp, Dmitrii, et al.
Published: (2025)
Real roots of hypergeometric polynomials via finite free convolution
by: Martinez-Finkelshtein, Andrei, et al.
Published: (2023)
by: Martinez-Finkelshtein, Andrei, et al.
Published: (2023)
Matrix Bessel Biorthogonal Polynomials: A Riemann-Hilbert approach
by: Branquinho, Amílcar, et al.
Published: (2025)
by: Branquinho, Amílcar, et al.
Published: (2025)
Finite Bivariate Biorthogonal M-Konhauser Polynomials
by: Lekesiz, Esra Güldoğan, et al.
Published: (2024)
by: Lekesiz, Esra Güldoğan, et al.
Published: (2024)
A few identities and integrals involving Pochhammer symbols, Jacobi polynomials, and the generalized hypergeometric function
by: Szabłowski, Paweł J.
Published: (2025)
by: Szabłowski, Paweł J.
Published: (2025)
Orthogonal Polynomials with a Singularly Perturbed Airy Weight
by: Min, Chao, et al.
Published: (2024)
by: Min, Chao, et al.
Published: (2024)
$q$-Hypergeometric Orthogonal Polynomials with $q=-1$
by: Verde-Star, Luis
Published: (2024)
by: Verde-Star, Luis
Published: (2024)
On a specific family of orthogonal polynomials of Bernstein-Szegö type
by: Nicholson, Martin
Published: (2025)
by: Nicholson, Martin
Published: (2025)
Large-degree asymptotic expansions for the Jacobi and related functions
by: Nemes, Gergő
Published: (2024)
by: Nemes, Gergő
Published: (2024)
Asymptotics of the Humbert Function $Ψ_1$ for Two Large Arguments
by: Hang, Peng-Cheng, et al.
Published: (2024)
by: Hang, Peng-Cheng, et al.
Published: (2024)
On the Asymptotics of Orthogonal Polynomials on Multiple Intervals with Non-Analytic Weights
by: Trogdon, Thomas
Published: (2024)
by: Trogdon, Thomas
Published: (2024)
Differential equations for a class of semiclassical orthogonal polynomials on the unit circle
by: Bracciali, Cleonice F., et al.
Published: (2025)
by: Bracciali, Cleonice F., et al.
Published: (2025)
Interlacing of zeros of polynomials completed with two additional points
by: Jordaan, Kerstin, et al.
Published: (2026)
by: Jordaan, Kerstin, et al.
Published: (2026)
Simple bounds for the extreme zeroes of Jacobi polynomials
by: Nikolov, Geno
Published: (2024)
by: Nikolov, Geno
Published: (2024)
On classical orthogonal polynomials on bi-lattices
by: Castillo, K., et al.
Published: (2023)
by: Castillo, K., et al.
Published: (2023)
Similar Items
-
On Askey's extension of Clausen's identity and its polynomial perturbation
by: Karp, Dmitrii, et al.
Published: (2026) -
Two closed-form evaluations for the generalized hypergeometric function ${}_4F_3(\frac1{16})$
by: Rathie, Arjun K., et al.
Published: (2023) -
A look at generalized trigonometric functions as functions of their two parameters and further new properties
by: Karp, Dmitrii, et al.
Published: (2024) -
On the application of a hypergeometric identity to generate generalized hypergeometric reduction formulas
by: González-Santander, J. L.
Published: (2025) -
On a $_2F_1\big(\frac{1}{4}\big)$-identity due to Gosper
by: Hakimoglu-Brown, Cetin
Published: (2026)