Sum of Finite and Infinite Series Derived by Generalized Q-Alpha Derivative Operator

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2015 by IJMTT Journal
Volume-24 Number-1
Year of Publication : 2015
Authors : G.Britto Antony Xavier, T.G.Gerly
  10.14445/22315373/IJMTT-V24P509

MLA

G.Britto Antony Xavier, T.G.Gerly"Sum of Finite and Infinite Series Derived by Generalized Q-Alpha Derivative Operator", International Journal of Mathematics Trends and Technology (IJMTT). V24(1):67-72 August 2015. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
In this paper, by defining the generalized q-derivative operator of first kind and its inverse, we obtain some identities and formulas on finite and infinite series in the field of finite difference methods. Suitable numerical examples verified by MATLAB are provided to illustrate the main results.

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Keywords
Generalized q-alpha derivative operator, geometric progression and polynomial factorial.