On Deficiencies of Some Differential-Difference Polynomials

ISBN-13: 9786204197456 / Angielski / Miękka / 92 str.

Sanjib Kumar Datta; Surajit Hazra

Opis

During the years the investigation of the characteristic function of differential-difference polynomials is a long-cherished phenomenon and the results obtained in this direction can be viewed as a differential-difference analogue of the classical Valiron-Mokhon'ko Theorem (Year)and in this connection, it is necessary to investigate the deficiencies of some homogeneous differential-difference polynomials. Some characteristics of special differential-difference polynomials are also investigated and subsequent results on this topic can be estimated as differential-difference analogues of some classical results of Hayman and Yang (Year). Recently, with some groundworks on difference analogues of classical Nevanlinna's theory, there has been a renewed interest in the properties of complex difference and also meromorphic solutions of complex difference equations. By combining both complex differentials and difference, we discuss in this monograph about the deficiencies of differential-difference polynomials of meromorphic functions.

O autorze

Datta, Sanjib KumarProf. (Dr.) Sanjib Kumar Datta, FIMA (UK), CSci, CMath is currently a Professor at the Department of Mathematics, University of Kalyani, India. During his teaching and research carrier of 22 years, he has published 435 research papers & supervised 35 Ph.D. Scholars. Presently he is a reviewer of AMS &zbMATH and a Member of NASI, Allahabad, India.