In this paper, we extend an inequality concerning the polar derivative of a polynomial in Lp-norm to class lacunary polynomials and thereby obtain bound that depends on some coefficients as well.

Photochromism of a symmetric diarylmaleimide derivative, having two thiophene rings (1), and a non-symmetric derivative having a S,S-dioxide thiophene ring and a thiophene ring (2) as the aryl moieties, was studied in various solvents. The photocyclization quantum yield of gradually decreased with increasing the solvent polarity and the reaction was not observed in polar solvents, such as ethan...

In this paper, certain new results concerning the maximum modulus of polar derivative a polynomial with restricted zeros are obtained. These estimates strengthen some well known inequalities for due to Turán, Dubinin and others.

In this paper we obtain new results concerning maximum modulus of the polar derivative of a polynomial with restricted zeros. Our results generalize and refine upon the results of Aziz and Shah [An integral mean estimate for polynomial, Indian J. Pure Appl. Math. 28 (1997) 1413–1419] and Gardner, Govil and Weems [Some result concerning rate of growth of polynomials, East J. Apporox. 10(2004) 30...