On the Derivatives of Integral Functions

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Authors

  • Lucknow University ,IN

DOI:

https://doi.org/10.18311/jims/1946/17124

Abstract

The object of this paper is to investigate some inequalities concerning integral functions. Let f(z) be an integral function of order P and lower order λ and let f(s)(z) be the sth derivative of f(z) and let M(r) M (1)(r),... denote the maximum moduli of f(z), f(1)(z)>"- respectively, on the circle \z\ = r. Let n(r, f) = n(r) denote, as usual, the number of zeros of f(z) lying in the circle |z| = r and on its circumference and let m(r) = min \f(z)\.