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Wenchang Chu
Ruolo
Professore Associato
Organizzazione
Università del Salento
Dipartimento
Dipartimento di Matematica e Fisica "Ennio De Giorgi"
Area Scientifica
Area 01 - Scienze matematiche e informatiche
Settore Scientifico Disciplinare
MAT/02 - Algebra
Settore ERC 1° livello
Non Disponibile
Settore ERC 2° livello
Non Disponibile
Settore ERC 3° livello
Non Disponibile
By combining a telescopic summation formula with Kummer– Thomae–Whipple transformation, we prove two nonterminating 3F2(1)- series identities with one of them confirming a conjecture by Milgram (2009) and another one extending a couple of terminating series identities due to Gessel and Stanton (1982).
By means of the transformations of Sears and Watson about the terminating balanced $_4phi_3$-series, we investigate the two terminating $q$-Kampé de Fériet series $Phi^{1:3;lam}_{1:2;mu}$ and $Phi^{2:2;lam}_{2:1;mu}$. Several reduction and summation formulae are established. They extend the corresponding known results about the double $q$-Clausen series.
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