Pascal distribution series for subclasses of analytic functions associated with conic domains

Frasin, B. A.; Aydoğan, Seher Melike

doi:10.1007/s13370-020-00813-1

Cited by 3 publications

(1 citation statement)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where * denote the convolution or Hadamard product of two series. Motivated by several earlier results on connections between various subclasses of analytic and univalent functions, using hypergeometric functions (see for example, [31,32,33,34]), generalized Bessel functions (see for example, [35,36]), Struve functions (see for example, [37,38,39]), Poisson distribution series (see for example, [1,40,41,42,43,44]) and Pascal distribution series (see for example, [45,46,47,48,49,50,51]), in this paper we determine conditions for Φ , to be in the classes -…”

Section: A More General Functionmentioning

confidence: 99%

An application of Mittag–Leffler-type Poisson distribution on certain subclasses of analytic functions associated with conic domains

Ahmad

Frasin

Murugusundaramoorthy

et al. 2021

Heliyon

View full text Add to dashboard Cite

In this paper our aim is to deduce some sufficient conditions and inclusion properties for Mittag-Leffler-type Poisson distribution seriesto be in the classes - [ , ] and - [ , ] of -uniformly Janowski starlike and k-Janowski convex functions, respectively. Further, we obtain a condition for an integral operator  , ( ) = ∫ 0 Φ , ( ) to be in the class -  [ , ]. Several corollaries and consequences of the main results are also considered.

show abstract