Close-to-convexity properties of basic hypergeometric functions using their Taylor coefficients

• Autorzy: Raghavendar K. , Swaminathan A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we find the conditions on parameters a, b, c and q such that the basic hypergeometric function zφ(a,b;c;q,z) and its q-Alexander transform are close-to-convex (and hence univalent) in the unit disc D:={z: |z|<1}.

Słowa kluczowe

EN

Gaussian hypergeometric function; basic hypergeometric function; close-to-convex function; starlike function; convex function

PL

funkcja hipergeometryczna; funkcja gwiaździsta; funkcja wypukła

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2012
• Tom: Vol. 35
• Strony: 53--67
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Raghavendar K.

• Department of Mathematics, Indian Institute of Technology, Roorkee 247 667, Uttarkhand, INDIA

autor

Swaminathan A.

• Department of Mathematics, Indian Institute of Technology, Roorkee 247 667, Uttarkhand, INDIA

Bibliografia

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