Universal formulas in integral and fractional differential calculus

著者

書誌事項

Universal formulas in integral and fractional differential calculus

by Khavtgai Namsrai

World Scientific, c2016

大学図書館所蔵 件 / 全5件

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This reference book presents unique and traditional analytic calculations, and features more than a hundred universal formulas where one can calculate by hand enormous numbers of definite integrals, fractional derivatives and inverse operators. Despite the great success of numerical calculations due to computer technology, analytical calculations still play a vital role in the study of new, as yet unexplored, areas of mathematics, physics and other branches of sciences. Readers, including non-specialists, can obtain themselves universal formulas and define new special functions in integral and series representations by using the methods expounded in this book. This applies to anyone utilizing analytical calculations in their studies.

目次

  • Mathematical Preparation
  • Calculation of Integrals Containing Trigonometric and Power Functions
  • Integrals Involving xgamma, (p + txp)-lambda Sine and Cosine Functions
  • Derivation of General Formulas
  • Integrals Involving xgamma, (p + txp)-lambda, exp[-axgamma] and Trigonometric Functions
  • Integrals Containing Bessel Functions
  • Integrals Involving Neumann Function
  • Integrals Containing Other Cylindrical and Special Functions
  • Integrals Involving Two Trigonometric Functions
  • Derivation of Universal Formulas for Calculation of Fractional Derivatives and Inverse Operators

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