Naslov
Univalence criteria for linear fractional differential operators associated with a generalized Bessel function

Autori
Al-Kharsani, Huda ; Al-Zahrani, A.M. ; Al-Hajri, S.S. ; Poganj, Tibor

Izvornik
Mathematical communications (1331-0623) 21 (2016), 2; 171-188

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Analytic functions ; Univalent functions ; Integral operator ; Generalized Bessel functions ; Ahlfors--Becker univalence criteria ; Fractional differential operator ; Generalized hypergeometric functions ; Luke's bounds.

Sažetak
In this paper our aim is to establish some generalizations upon the sufficient conditions for linear fractional differential operators involving the normalized forms of the generalized Bessel functions of the first kind to be univalent in the open unit disk as investigated recently by [E. Deniz, H. Orhan, H.M. Srivastava, Some sufficient conditions for univalence of certain families of integral operators involving generalized Bessel functions, Taiwanese J. Math. 15 (2011), No. 2, 883-917] and [A. Baricz, B. Frasin, Univalence of integral operators involving Bessel functions, Appl. Math. Letters 23 (2010), No. 4, 371--376]. Our method uses certain Luke's bounding inequalities for hypergeometric functions ${; ; ; }; ; ; _{; ; ; p+1}; ; ; F_p$ and ${; ; ; }; ; ; _pF_p$.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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