Glasnik Matematicki, Vol. 41, No.2 (2006), 299-307.

COEFFICIENT ESTIMATES AND PARTIAL SUMS OF A NEW CLASS OF FUNCTIONS

R. K. Raina and Deepak Bansal

Abstract.   This paper investigates boundedness properties of certain classes of functions (which involve partial sums). The usefulness of the main results not only provide unification of results of Choi (where each of the results was proved rather independently), but also generates certain new results. Applications of our main results are pointed out briefly in the concluding section.

2000 Mathematics Subject Classification.   30C45.

Key words and phrases.   Hadamard product, Ruschweyh derivative, univalent functions, starlike functions, convex functions.

DOI: 10.3336/gm.41.2.12

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