Geodesic
Uniformly convex spiral functions and uniformly spirallike functions associated with Pascal distribution series
Mathematica Bohemica, Tome 147 (2022) no. 3, pp. 407-417

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The aim of this paper is to find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in the classes $\mathcal {SP}_{p}(\alpha ,\beta )$ and $\mathcal {UCV}_{p}(\alpha ,\beta )$ of uniformly spirallike functions. Further, we consider an integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.
DOI : 10.21136/MB.2021.0132-20
Classification : 30C45
Keywords: analytic function; Hadamard product; uniformly spirallike function; Pascal distribution series 
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Murugusundaramoorthy, Gangadharan; Frasin, Basem Aref; Al-Hawary, Tariq. Uniformly convex spiral functions and uniformly spirallike functions associated with Pascal distribution series. Mathematica Bohemica, Tome 147 (2022) no. 3, pp. 407-417. doi: 10.21136/MB.2021.0132-20

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