Definite integrals and operational methods

An operational method, already employed to formulate a generalization of the Ramanujan master theorem, is applied to the evaluation of integrals of various types. This technique provides a very flexible and powerful tool yielding new results encompassing different aspects of the special function theory. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.

The differential and integral calculus : containing differentiation, integration, development, series, differential equations, differences, summation, equations of differences, calculus of variations, definite integrals,--with applications to algebra, plane geometry, solid geometry, and mechanics. Also, Elementary illustrations of the differential and integral calculus /

First issued in 25 parts, July 15, 1836, to June 1, 1842.

A treatise on the integral calculus : containing the integration of explicit functions of one variable ; together with the theory of definite integrals and of elliptic functions /

Mode of access: Internet.

Introduction to the theory of Fourier's series and integrals.

Vol. 2 has title: Introduction to the mathematical theory of the conduction of heat in solids. First published in 1906 in 1 vol. with title: Fourier's series and conduction of heat.--cf. Pref.

Introduction to the theory of Fourier's series and integrals and the mathematical theory of the conduction of heat,

Bibliography: Fournier's series: p. [411]-418; The conduction of heat: p.[419]-429.

Vorlesungen über bestimmte integrale und die Fourierschen reihen /

Computer-scanned reproduction using Xerox software and equipment.

G. Lejeune-Dirichlets Vorlesungen über die Lehre von den Einfachen und Mehrfachen bestimmten Integralen.

Available on demand as hard copy or computer file from Cornell University Library.

Vorlesungen über die Theorie der bestimmten Integrale zwischen reellen Grenzen mit vorzüglicher Berücksichtigung der von P. Gustav Lejeune-Dirichlet in Sommer 1858 gehaltenen Vorträge über bestimmte Integrale.

Available on demand as hard copy or computer file from Cornell University Library.

Réduction des intégrales définies générales. [Integral sign][̳infinity symbol] F(x)cos. pxdx/q²+x², [integral sign][̳infinity symbol] F(x)sin. pxdx/q²+x², et application de ces formules au cas, que F(x) a un facteur de la fornie sin. a̳x ou cos. a̳x.

Available on demand as hard copy or computer file from Cornell University Library.

A course in mathematical analysis.

An unabridged and unaltered republication of the Hedrick-Dunkel translation (v. 1-2); v. 3. newly translated by Howard G. Bergmann.

Encyclopaedia of pure mathematics.

Articles reprinted from Encyclopaedia metropolitana.

Beitrag zur Auswerthung bestimmter Integrale Mittelst Veränderung des Weges.

"Separatabdruck aus den Mitteilungen der Naturforschenden Gesellschaft in Bern."

Bestimmung der Integrale [integral sign] 2̳[pi][cos sin]n[phi]d[phi]/[Phi]s̳, wobei [Phi]= A+ Bcos[phi]+Csin[phi]+Dcos2[phi]+Esin2[phi], für beliebige reelle und komplexe Werte von [phi].

On t. p., 2̳[pi] and s̳ are superscript.

Vorlesungen über die Lehre von den einfachen und mehrfachen bestimmten Integralen /

Preservation photocopy on alkaline paper.