Results 71 to 80 of about 5,152 (170)

A note on certain classes of multivariable q-series transformations

Le Matematiche, 2010
The present note envisage to derive some new classes of multiple q-series transformations and reduction formulae. Special cases in terms ofthe known and new results are also derived.
Sunil Dutt Purohit, Rajendra Kumar Yadav
doaj  

Two types of series expansions valid at strong coupling

Journal of High Energy Physics
It is known that perturbative expansions in powers of the coupling in quantum mechanics (QM) and quantum field theory (QFT) are asymptotic series. This can be useful at weak coupling but fails at strong coupling.
Ariel Edery
doaj   +1 more source

On convergence of basic hypergeometric series

, 2015
6 ...
openaire   +2 more sources

Transformations and Summations for Bilateral Basic Hypergeometric Series

Arabian Journal of Mathematics
Abstract We review and derive transformation and summation formulas for bilateral basic hypergeometric series. Our study focuses on consequences of certain bilateral extensions of two important results by Bailey, namely a transformation for very-well-poised
Howard S. Cohl, Michael J. Schlosser
openaire   +2 more sources

Some New q-Congruences for Truncated Basic Hypergeometric Series: Even Powers. [PDF]

Results Math, 2020
Guo VJW, Schlosser MJ.
europepmc   +1 more source

General duality relations for hypergeometric and basic hypergeometric series

24 pages; no ...
Karp, Dmitrii, Zhang, Yi
openaire   +2 more sources

Basic hypergeometric series

Journal of Approximation Theory, 1991
George E. Andrews, George Gasper, Mizan Rahman   +2 more
openaire   +2 more sources

Combinatorial proofs of identities in basic hypergeometric series

European Journal of Combinatorics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Abel's lemma on summation by parts and basic hypergeometric series

Advances in Applied Mathematics, 2007
The author continues to explore the use of Abel's lemma on summation by parts to prove basic hyperegeometric series identities. He gives simple proofs of unilateral and bilateral series identities such as the \(q\)-binomial theorem, the \(_1\psi_1\) summation [transcribed from Aequationes Math. 72, No.
openaire   +3 more sources

The Euler operator for basic hypergeometric series [PDF]

International Journal of Advances in Applied Mathematics and Mechanics, 2014
Mohammed A. Abdlhusein
doaj