$q$-analogues of Wilf-Zeilberger seeds and Ramanujan $1/π^k$-formulas
Fuente:
arXiv
Saved in:
| Main Author: | Au, Kam Cheong |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Wilf-Zeilberger seeds and non-trivial hypergeometric identities
by: Au, Kam Cheong
Published: (2023)
by: Au, Kam Cheong
Published: (2023)
Discovering hypergeometric series with harmonic numbers via Wilf-Zeilberger seeds
by: Au, Kam Cheong
Published: (2026)
by: Au, Kam Cheong
Published: (2026)
Linear relations between $L$-values of newforms and moments of elliptic $K$ integral
by: Au, Kam Cheong
Published: (2025)
by: Au, Kam Cheong
Published: (2025)
Expansion formulas for elliptic hypergeometric series
by: Bhatnagar, Gaurav, et al.
Published: (2024)
by: Bhatnagar, Gaurav, et al.
Published: (2024)
Evaluation of one-dimensional polylogarithmic integral, with applications to infinite series
by: Au, Kam Cheong
Published: (2020)
by: Au, Kam Cheong
Published: (2020)
$q$-analogues of $π$-formulas due to Ramanujan and Guillera
by: Campbell, John M.
Published: (2025)
by: Campbell, John M.
Published: (2025)
Multiple zeta values, WZ-pairs and infinite sums computations
by: Au, Kam Cheong
Published: (2022)
by: Au, Kam Cheong
Published: (2022)
On a function of Ramanujan twisted by a logarithm
by: Dixit, Atul, et al.
Published: (2025)
by: Dixit, Atul, et al.
Published: (2025)
Theta functions and transformations of bilateral basic hypergeometric series
by: Zhou, Nian Hong
Published: (2026)
by: Zhou, Nian Hong
Published: (2026)
Bilateral $q$-ultraspherical functions
by: Schlosser, Michael J.
Published: (2025)
by: Schlosser, Michael J.
Published: (2025)
A bibasic double sum extension of a $q$-binomial theorem arising out of subspace enumeration
by: Bhatnagar, Gaurav, et al.
Published: (2026)
by: Bhatnagar, Gaurav, et al.
Published: (2026)
Voronoi summation formula for the generalized divisor function $σ_{z}^{(k)}(n)$
by: Dixit, Atul, et al.
Published: (2023)
by: Dixit, Atul, et al.
Published: (2023)
Pfaff's Method Revisited
by: Dhar, Aritram
Published: (2024)
by: Dhar, Aritram
Published: (2024)
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)
Identities on Zagier's rank two examples for Nahm's problem
by: Wang, Liuquan
Published: (2022)
by: Wang, Liuquan
Published: (2022)
On ${}_5ψ_5$ identities of Bailey
by: Dhar, Aritram
Published: (2023)
by: Dhar, Aritram
Published: (2023)
(Strange) gamma evaluations
by: Zudilin, Wadim
Published: (2025)
by: Zudilin, Wadim
Published: (2025)
A family of orthogonal functions on the unit circle and a new multilateral matrix inverse
by: Schlosser, Michael J.
Published: (2024)
by: Schlosser, Michael J.
Published: (2024)
Derivatives of Srivastava's hypergeometric functions with respect to their parameters
by: Shehata, Ayman, et al.
Published: (2021)
by: Shehata, Ayman, et al.
Published: (2021)
On single-variable Witten zeta functions of rank two and three
by: Au, Kam Cheong
Published: (2024)
by: Au, Kam Cheong
Published: (2024)
A remarkable basic hypergeometric identity
by: Krattenthaler, Christian, et al.
Published: (2024)
by: Krattenthaler, Christian, et al.
Published: (2024)
Voronoi summation formulas, oscillations of Riesz sums, and Ramanujan-Guinand and Cohen type identities
by: Charge, Shashank, et al.
Published: (2024)
by: Charge, Shashank, et al.
Published: (2024)
$q$-rious unimodality
by: Warnaar, S. Ole, et al.
Published: (2025)
by: Warnaar, S. Ole, et al.
Published: (2025)
Proofs of Mizuno's Conjectures on Rank Three Nahm Sums of Index $(1,2,2)$
by: Wang, Boxue, et al.
Published: (2024)
by: Wang, Boxue, et al.
Published: (2024)
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)
A $q$-analogue of Gosper's strange evaluation of the hypergeometric series
by: Yamaguchi, Yuka
Published: (2025)
by: Yamaguchi, Yuka
Published: (2025)
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)
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)
Rogers-Ramanujan Type $q$-Exponential Operator and Stieljes-Widgert Polynomials
by: López, Ronald Orozco
Published: (2025)
by: López, Ronald Orozco
Published: (2025)
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)
Iterated Integrals and Multiple Polylogarithm at Algebraic Arguments
by: Au, Kam Cheong
Published: (2022)
by: Au, Kam Cheong
Published: (2022)
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)
A general $q$-series transformation and its applications to multi-sum Rogers-Ramanujan-Slater identities
by: Xu, Jianan, et al.
Published: (2024)
by: Xu, Jianan, et al.
Published: (2024)
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)
Product formulas for basic hypergeometric series by evaluations of Askey--Wilson polynomials
by: Cohl, Howard, et al.
Published: (2024)
by: Cohl, Howard, et al.
Published: (2024)
A positivity conjecture for a quotient of $q$-binomial coefficients
by: Gatzweiler, Mona, et al.
Published: (2025)
by: Gatzweiler, Mona, et al.
Published: (2025)
Bailey pairs, radial limits of $q$-hypergeometric false theta functions, and a conjecture of Hikami
by: Lovejoy, Jeremy, et al.
Published: (2024)
by: Lovejoy, Jeremy, et al.
Published: (2024)
Well-poised basic q-Taylor expansions with complementary remainders and a two-basis kernel
by: Abdulsalam, Abdulhafeez A., et al.
Published: (2026)
by: Abdulsalam, Abdulhafeez A., et al.
Published: (2026)
Uniform enclosures for the phase and zeros of Bessel functions and their derivatives
by: Filonov, Nikolay, et al.
Published: (2024)
by: Filonov, Nikolay, et al.
Published: (2024)
Similar Items
-
Wilf-Zeilberger seeds and non-trivial hypergeometric identities
by: Au, Kam Cheong
Published: (2023) -
Discovering hypergeometric series with harmonic numbers via Wilf-Zeilberger seeds
by: Au, Kam Cheong
Published: (2026) -
Linear relations between $L$-values of newforms and moments of elliptic $K$ integral
by: Au, Kam Cheong
Published: (2025) -
Expansion formulas for elliptic hypergeometric series
by: Bhatnagar, Gaurav, et al.
Published: (2024) -
Evaluation of one-dimensional polylogarithmic integral, with applications to infinite series
by: Au, Kam Cheong
Published: (2020)