Results 91 to 100 of about 15,327 (120)

A Note on the Bailey Transform, the Bailey Pair and the WP Bailey Pair and Their Applications

Russian Journal of Mathematical Physics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Srivastava, H. M., Singh, S. N., Singh, S. P., Yadav, V.   +3 more
openaire   +1 more source

Certain applications of WP-Bailey pairs

Asian-European Journal of Mathematics, 2019
In the present paper, certain new transformation formulae for basic hypergeometric series have been developed with the help of new WP-Bailey pair generated from old WP-Bailey pair.
Pathak, Maheshwar, Srivastava, Pankaj
openaire   +1 more source

Bailey pairs and indefinite quadratic forms, II. False indefinite theta functions

Research in Number Theory, 2022
We construct families of Bailey pairs \((\alpha_n,\beta_n)\) where the exponent of \(q\) in \(\alpha_n\) is an indefinite quadratic form, but where the usual \((-1)^j\) is replaced by a sign function. This leads to identities involving ``false'' indefinite binary theta series.
openaire   +2 more sources

Ramanujan-type partial theta identities and conjugate Bailey pairs, II. Multisums

The Ramanujan Journal, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kim, Byungchan, Lovejoy, Jeremy
openaire   +2 more sources

Truncated sums for Hecke-Rogers type identities and Andrews-Hickerson's Bailey pair

Advances in Applied Mathematics, 2022
Following the work of \textit{G. E. Andrews} and \textit{M. Merca} [J. Comb. Theory, Ser. A 119, No. 8, 1639--1643 (2012; Zbl 1246.05014)] on the truncated version of Euler's pentagonal number theorem, several authors have studied truncated sums of \(q\)-series identities.
openaire   +2 more sources

Constructive extensions of three summation formulas for q-series and their applications to Bailey pairs

The Ramanujan Journal, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Jianfeng, Ma, Xinrong
openaire   +2 more sources

Ramanujan-type partial theta identities and conjugate Bailey pairs

The Ramanujan Journal, 2012
In his lost notebook, Ramanujan recorded a number of partial theta identities such as those appearing in [\textit{G. E. Andrews} and \textit{B. C. Berndt}, Ramanujan's lost notebook. Part II. New York, NY: Springer (2009; Zbl 1180.11001), Entry 6.6.1]; among them, we have \[ \sum_{n \geq 0} \dfrac{(q^{n+1})_{n} q^{n}} {(-a)_{n+1}(-q/a)_{n}} = \sum_{n ...
openaire   +1 more source

Bailey Pairs With Free Parameters, Mock Theta Functions and Tubular Partitions

Annals of Combinatorics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Evaluation of selenium species in selenium-enriched pakchoi (Brassica chinensis Jusl var parachinensis (Bailey) Tsen & Lee) using mixed ion-pair reversed phase HPLC–ICP-MS

Food Chemistry, 2014
HPLC-ICP-MS based on ion-paired reversed phase chromatography for the selenium speciation using the mixture of 1-butanesulfonic acid (BA) and trifluoroacetic acid (TFA) as the mixed ion-pairing reagents was developed and applied to selenium-enriched pakchoi (Brassica chinensis Jusl var parachinensis (Bailey) Tsen & Lee).
Witphon, Thosaikham, Kritsana, Jitmanee, Rossukon, Sittipout, Sarunya, Maneetong, Anut, Chantiratikul, Piyanete, Chantiratikul   +5 more
openaire   +2 more sources

Rutting performance of asphalt mixtures with gradations designed using Bailey and conventional Superpave methods

Construction and Building Materials, 2020
Khalid A Ghuzlan
exaly