Results 81 to 90 of about 3,647,357 (169)

Theta functions and transformations of bilateral basic hypergeometric series

We establish new transformation formulas involving theta functions and certain bilateral basic hypergeometric series. From these formulas, we construct companion $q$-series for a class of $q$-series such that the asymptotic expansion of their quotient admits a simple closed form.
openaire   +2 more sources

Contributions to the theory of generalised hypergeometric series [PDF]

, 1953
This thesis deals with various aspects of development in the field of both ordinary and basic hypergeometric functions. It comprises six chapters. The first chapter gives a brief survey of some of the recents developments in this field including the work
Agarwala, R. P.
core  

Uniform convergence of hypergeometric series

, 2006
Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality九州大学21世紀COEプログラム「機能数理学の構築と展開」The considered problem is uniform convergence of sequences of hypergeometric series.
Vidunas, Raimundas
core  

Two entries on bilateral hypergeometric series in Ramanujan's Lost Notebook

, 2007
Two entries of bilateral sums in Ramanujan’s lost notebook are confirmed by means of Dougall’s bilateral series identities with one of them being corrected. * * * * * * * * * * * * * * * * * * * * * * * * *
BERNDT B. C., CHU, Wenchang
core  

Single-nucleus profiling reveals a core disease signature and cell type-specific vulnerabilities in early Rett syndrome. [PDF]

Sci Adv
Li Y, Anderson AG, Qi G, Wu SR, Revelli JP, Chen H, Liu Z, Zoghbi HY.   +7 more
europepmc   +1 more source

Factorization of Basic Hypergeometric Series

The general problem of the factorization of a basic hypergeometric series is presented and discussed. The case of the general ₂₂ series is examined in detail.
Bradley-Thrush, Jonathan G.
core   +1 more source

Multi-tissue transcriptomic aging atlas reveals predictive aging biomarkers in the killifish. [PDF]

Nat Aging
Costa EK, Chen J, Guldner IH, Mboning L, Schmahl N, Tsenter A, Nagvekar R, Wu MR, Moran-Losada P, Bouchard LS, Wang S, Singh PP, Pellegrini M, Brunet A, Wyss-Coray T.   +14 more
europepmc   +1 more source

Level up the brain! Novel PCA method reveals key neuroplastic refinements in action video gamers. [PDF]

Imaging Neurosci (Camb)
Cahill K, Dhamala M, Dhamala M.
europepmc   +1 more source

On Certain Transformations of Poly-Basic Bilateral Hypergeometric Series

International Journal of Science and Research (IJSR), 2021
openaire   +1 more source

DNA methylation mediates the immunosuppressive tumour microenvironment in metastatic endometrial clear cell carcinoma. [PDF]

EBioMedicine
Jia H, Chen Y, Ma G, Xu S, Zhang X, Chang L, Yang P, Xiao Y, Xia X, Zhang S, Tang H, Mou Y, Zhang L, Wang H, Bai J, Yi X, Xing X.   +16 more
europepmc   +1 more source