Punjab University Journal of Mathematics, Vol 51, No 7 (2019)

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Bounds for Probabilities of the Generalized Distribution Defined by Generalized Polylogarithm

Abiodun Tinuoye Oladipo


The paper investigated the polynomials whose coefficients are
generalized distribution. Convolution via generalized polylogarithm and
subordination methods were employed to obtain the upper bounds for the
first few coefficients of the class defined. Furthermore, relevant connections
to Fekete-Szego classical theorem were established, particularly in
conic region. Conclusively, consequences of various choices of parameters
involved were pointed out. The results further established geometric
properties of the generalized distribution associated with univalent functions.

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