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On convergence of basic hypergeometric series

On convergence of basic hypergeometric series
We examine the convergence of q-hypergeometric series when |q| = 1. We give a condition so that the radius of the convergence is positive and get the radius. We also show that the numbers q with the positive radius of the convergence are densely distributed in the unit circle of the complex plane of q and so are those with the radius 0.
openaire  

The Exact Hypergeometric Posterior Method for Accurate Inference of Population Size from Mark-Recapture Data. [PDF]

Bull Math Biol
Mirzaee D, Malekpour SA, Kalirad A.
europepmc   +1 more source

A new family of <i>q</i>-hypergeometric congruences from Andrews' multi-series transformation. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
Guo VJW, Schlosser MJ.
europepmc   +1 more source

Exact ODE Framework for Classical and Quantum Corrections for the Lennard-Jones Second Virial Coefficient. [PDF]

Entropy (Basel)
Zhao Z, González-Calderón A, Perera-Burgos JA, Estrada A, Hernández-Anguiano H, Martínez-Lázaro C, Li Y.   +6 more
europepmc   +1 more source

A remarkable basic hypergeometric identity. [PDF]

Ramanujan J
Krattenthaler C, Zudilin W.
europepmc   +1 more source

Inference of causal interaction networks of gut microbiota using transfer entropy. [PDF]

BMC Genomics
Park C, Kim J, Lee J.
europepmc   +1 more source

Generalized analysis of dynamic pull-in for singular magMEMS and MEMS oscillators. [PDF]

Sci Rep
Skrzypacz P, Ellis G, Pruchnik B, Putek P.   +3 more
europepmc   +1 more source

Metabolic adaptation drives self-organization during skin organoid morphogenesis. [PDF]

Nat Commun
Jiang J, Liu W, Wang M, Wang D, Wu W, Zhang M, Zhou S, Xiao Y, Lin X, Xiang X, An W, Zhao H, Zhan R, Yang L, Cai K, Luo G, Chuong CM, Lei M.   +17 more
europepmc   +1 more source

Some new transformations for Bailey pairs and WP-Bailey pairs

Open Mathematics, 2010
Mc Laughlin James
doaj   +1 more source

Paracrine signals from HIV-1-infected immune cells reprogram cervical cancer pathways. [PDF]

iScience
Olwal CO, Rathore U, Makanani SK, Kaushal P, Ashley IA, Ummadi MR, Appiah V, Djomkam Zune AL, Blanc SF, Winters DM, Delgado Y, Muthoka K, Fabius JM, Eckhardt M, Kaake RM, Su M, Fregoso OI, Hultquist JF, Orang'o EO, Swaney DL, Kyei GB, Krogan NJ, Quashie PK, Bediako Y, Bouhaddou M.   +24 more
europepmc   +1 more source