In this paper, we study a generalized Bohr-Rogosinski sum for the Ma-Minda classes of starlike and convex functions. The phenomenon is also explored for the classes of starlike functions with respect to symmetric and conjugate points along with their convex cases. Further, the connection between the derived results and the known ones are established with the suitable examples.
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Kazan Volga Reg Fed Univ, NI Lobachevskii Inst Math & Mech, Kazan 420008, Tatarstan, RussiaKazan Volga Reg Fed Univ, NI Lobachevskii Inst Math & Mech, Kazan 420008, Tatarstan, Russia
Alkhaleefah, Seraj A.
Kayumov, Ilgiz R.
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Kazan Volga Reg Fed Univ, NI Lobachevskii Inst Math & Mech, Kazan 420008, Tatarstan, RussiaKazan Volga Reg Fed Univ, NI Lobachevskii Inst Math & Mech, Kazan 420008, Tatarstan, Russia
Kayumov, Ilgiz R.
Ponnusamy, Saminathan
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Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, IndiaKazan Volga Reg Fed Univ, NI Lobachevskii Inst Math & Mech, Kazan 420008, Tatarstan, Russia