Deriving Dilogarithm Identities from the Ratio of Arctangent Integrals
Fuente:
arXiv
Saved in:
| Main Author: | Hakimoglu-Brown, Cetin |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Analytic Dilogarithm Identities
by: Hakimoglu-Brown, Cetin
Published: (2025)
by: Hakimoglu-Brown, Cetin
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 a conjecture due to Kanade related to Nahm sums
by: Hakimoglu-Brown, Cetin
Published: (2026)
by: Hakimoglu-Brown, Cetin
Published: (2026)
Special Functions from a Complex Viewpoint
by: Pedersen, Henrik Laurberg
Published: (2025)
by: Pedersen, Henrik Laurberg
Published: (2025)
A Dilogarithm Series and a Generalization of a Theorem of Bridgeman
by: Sanford, Chance
Published: (2024)
by: Sanford, Chance
Published: (2024)
New closed forms for a dilogarithmic integral, related integrals, and series
by: Abdulsalam, Abdulhafeez A.
Published: (2023)
by: Abdulsalam, Abdulhafeez A.
Published: (2023)
Principal Branches of Inverse Trigonometric and Inverse Hyperbolic Functions
by: Dempsey, Kevin M.
Published: (2023)
by: Dempsey, Kevin M.
Published: (2023)
Hyperelliptic values of the Gamma function
by: Lügering, Jan
Published: (2021)
by: Lügering, Jan
Published: (2021)
A novel asymptotic technique for integrals involving the Hankel contour and the Bleistein asymptotic formula
by: Fokas, A. S., et al.
Published: (2026)
by: Fokas, A. S., et al.
Published: (2026)
On Gautschi & Stirling Identities, Asymptotics and Inequalities for the Pi (or Gamma) Function
by: Schmidlin, Marc
Published: (2026)
by: Schmidlin, Marc
Published: (2026)
Proof of conjectures on series with summands involving $ \binom{2k}{k}8^k/(\binom{3k}{k}\binom{6k}{3k})$
by: Sun, Zhi-Wei, et al.
Published: (2024)
by: Sun, Zhi-Wei, et al.
Published: (2024)
Special Solutions of $q$-Heun Equation by $q$-Integral Transformations
by: Murakami, Ayaka, et al.
Published: (2026)
by: Murakami, Ayaka, et al.
Published: (2026)
Extending the Meijer $G$-function
by: Karp, Dmitrii, et al.
Published: (2024)
by: Karp, Dmitrii, et al.
Published: (2024)
Complex zeros of Bessel function derivatives and associated orthogonal polynomials
by: Chung, Seok-Young, et al.
Published: (2024)
by: Chung, Seok-Young, 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)
A numerical algorithm for computing the zeros of parabolic cylinder functions in the complex plane
by: Dunster, T. M., et al.
Published: (2024)
by: Dunster, T. M., et al.
Published: (2024)
Asymptotics for some $q$-hypergeometric polynomials
by: Mañas-Mañas, Juan F., et al.
Published: (2025)
by: Mañas-Mañas, Juan F., et al.
Published: (2025)
The multiple Markov theorem on Angelesco sets
by: Castillo, K., et al.
Published: (2025)
by: Castillo, K., et al.
Published: (2025)
The radius of starlikeness of regular Coulomb wave functions
by: Baricz, Árpád, et al.
Published: (2025)
by: Baricz, Árpád, et al.
Published: (2025)
On the Dotsenko-Fateev complex twin of the Selberg integral and its extensions
by: Neretin, Yury A.
Published: (2022)
by: Neretin, Yury A.
Published: (2022)
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)
Weierstrass functions and a generalization of the additive-multiplicative Weierstrass inequality
by: Wiśniewska, Halina
Published: (2025)
by: Wiśniewska, Halina
Published: (2025)
Integral representation and functional inequalities involving generalized polylogarithm
by: Mishra, Deepshikha, et al.
Published: (2024)
by: Mishra, Deepshikha, et al.
Published: (2024)
Some new properties of the beta function and Ramanujan R-function
by: Yang, Zhen-Hang, et al.
Published: (2024)
by: Yang, Zhen-Hang, et al.
Published: (2024)
Bailey Pairs and an Identity of Chern-Li-Stanton-Xue-Yee
by: Kanade, Shashank, et al.
Published: (2024)
by: Kanade, Shashank, et al.
Published: (2024)
Boundedness of certain multiple Erdélyi-Kober fractional integral operators on the Hardy space $H^1$
by: Chen, Xi, et al.
Published: (2025)
by: Chen, Xi, et al.
Published: (2025)
Some spherical function values for two-row tableaux and Young subgroups with three factors
by: Dunkl, Charles F.
Published: (2025)
by: Dunkl, Charles F.
Published: (2025)
Basic hypergeometric identities derived from three-term relations
by: Yamaguchi, Yuka
Published: (2025)
by: Yamaguchi, Yuka
Published: (2025)
On Airy solutions of P$_\mathrm{II}$ and the complex cubic ensemble of random matrices, II
by: Barhoumi, Ahmad, et al.
Published: (2024)
by: Barhoumi, Ahmad, et al.
Published: (2024)
Pfaff's Method Revisited
by: Dhar, Aritram
Published: (2024)
by: Dhar, Aritram
Published: (2024)
Series over Bessel functions as series in terms of Riemann's zeta function
by: Tričković, Slobodan B., et al.
Published: (2024)
by: Tričković, Slobodan B., et al.
Published: (2024)
Exploring Integration by Differentiation
by: George, R. D., et al.
Published: (2025)
by: George, R. D., et al.
Published: (2025)
A further q-analogue of Gosper's strange series
by: Campbell, John M., et al.
Published: (2026)
by: Campbell, John M., et al.
Published: (2026)
Three-Term Recurrence Relations for Confluent Basic Hypergeometric Series with Applications to q-Bessel Functions
by: Yamaguchi, Yuka
Published: (2026)
by: Yamaguchi, Yuka
Published: (2026)
A $q$-analogue of Gosper's strange evaluation of the hypergeometric series
by: Yamaguchi, Yuka
Published: (2025)
by: Yamaguchi, Yuka
Published: (2025)
An integrality phenomenon
by: Fürnsinn, Florian, et al.
Published: (2026)
by: Fürnsinn, Florian, et al.
Published: (2026)
Connection formulas for Askey--Wilson polynomials and related expansions
by: Cohl, Howard S., et al.
Published: (2026)
by: Cohl, Howard S., et al.
Published: (2026)
Solutions to variant of $q$-hypergeometric equation of degree 2 associated with $q$-middle convolution
by: Arai, Yumi
Published: (2024)
by: Arai, Yumi
Published: (2024)
Terminating representations, transformations and summations for the $q$ and $q^{-1}$-symmetric subfamilies of the Askey--Wilson polynomials
by: Cohl, Howard S., et al.
Published: (2025)
by: Cohl, Howard S., et al.
Published: (2025)
Transformations and summations for bilateral basic hypergeometric series
by: Cohl, Howard S., et al.
Published: (2025)
by: Cohl, Howard S., et al.
Published: (2025)
Similar Items
-
Analytic Dilogarithm Identities
by: Hakimoglu-Brown, Cetin
Published: (2025) -
On a $_2F_1\big(\frac{1}{4}\big)$-identity due to Gosper
by: Hakimoglu-Brown, Cetin
Published: (2026) -
On a conjecture due to Kanade related to Nahm sums
by: Hakimoglu-Brown, Cetin
Published: (2026) -
Special Functions from a Complex Viewpoint
by: Pedersen, Henrik Laurberg
Published: (2025) -
A Dilogarithm Series and a Generalization of a Theorem of Bridgeman
by: Sanford, Chance
Published: (2024)