Finally, we give a q-Taylor-like formula which includes fractional q-derivatives of the function. 1. INTRODUCTION. In the theory of q-calculus (see [5] and [7]), for a This undergraduate text develops two types of quantum calculi, the q-calculus PDF · q-Derivative and h-Derivative. Victor Kac, Pokman Cheung. Pages 1-4. Jul 1, 2016 - PDF File: A Comprehensive Treatment of q-Calculus. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference. The last questions are challenging but possible. 51 If f (t) = 3t - 1 for 0 6 t Q 2 give formulas (with domain) and find the slopes of these six functions: (a) f (t + 2). Quantum calculus, sometimes called calculus without limits, is equivalent to traditional References[edit]. ^ Abreu, Luis Daniel (2006). "Functions q-Orthogonal with Respect to Their Own Zeros" (PDF). Proceedings of the American MathematicalRequest PDF | A Comprehensive Treatment of q-Calculus | We give a survey of the different schools in q-analysis and introduce difference calculus and PDF | In this article, we let PCq denote the class of q-convex functions. Certain analytic properties of the class PCq are studied. The maximum of the | Find Accompanying the pdf file of this book is a set of Mathematica notebook files (with (3) To say that ? is not a rational number, we may write ? Q. Note: ?. 22. 7. May 12, 2018 -