Quantum calculus in Geometric function theory

The theory of quantum calculus called q-calculus has motivated the researchers due to its applications in the field of physical sciences, specially in quantum physics. Jackson was the first to give some applications of q-calculus by introducing the q-analogues of derivative and integral.This book gives the detailed information of Application of q calculus and (p,q) calculus in Geometric function theory. First chapter gives basic definition and results of current research in Geometric function theory in second chapter we discuss the connection of q calculus with analytic functions and find some important results. In last we discuss the connection of (p,q) calculus with harmonic multivalent functions. The theory of quantum calculus called q-calculus has motivated the researchers due to its applications in the field of physical sciences, specially in quantum physics. Jackson was the first to give some applications of q-calculus by introducing the q-analogues of derivative and integral.This book gives the detailed information of Application of q calculus and (p,q) calculus in Geometric function theory. First chapter gives basic definition and results of current research in Geometric function theory in second chapter we discuss the connection of q calculus with analytic functions and find some important results. In last we discuss the connection of (p,q) calculus with harmonic multivalent functions.

Autorentext

Dr. Omendra Mishra is Assistant Professor in Mathematics in Rajat P. G. college Lucknow. Dr. Saurabh Porwal is currently working as an Assistant Professor of mathematics in Ram Sahai Goverment Degree College Bairi-Shivrajpur, Kanpur.