We introduce sufficient conditions for (Gaussian) hypergeometric functions to be in a subclass of analytic functions. In addition, we investigate several mapping properties for convolutions and integral convolutions involving hypergeometric functions.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 70, No. 11, pp. 1466–1475, November, 2018.
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Aouf, M.K., Mostafa, A.O. & Zayed, H.M. Mapping Properties for Convolution Involving Hypergeometric Series. Ukr Math J 70, 1688–1699 (2019). https://doi.org/10.1007/s11253-019-01611-0
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DOI: https://doi.org/10.1007/s11253-019-01611-0