Complex Analysis - A Short Course - Softcover

Khobragade, Namdeo

Softcover

ISBN 10: 3659951757 ISBN 13: 9783659951756

Verlag: LAP LAMBERT Academic Publishing, 2016

Inhaltsangabe

The book entitled Complex Analysis – A Short Course contains five chapters. This book contains Power series representation of analytic function, zeros of an analytic function, the index of a closed curve, Cauchy’s theorem and integral formula, counting zeros, the open mapping Theorem. Classification of singularities, residues, the argument principle, the maximum principle, Schwarz Lemma, convex functions and Hadamard’s three circles theorem, Phragmen lindelof theorem. Spaces of analytical functions, Riemann’s mapping theorem, Weierstrass factorization theorem, factorization of sine function, Gamma functions, Riemann zeta functions. Runge’s theorem, Mittag-Leffler’s theorem, Schwarz reflection principle, analytic continuation along a path, Monodromy theorem, Basic properties of harmonic functions, harmonic functions on a disk, Green’s functions. Entire functions, Jensen’s formula, Genus and order of an Entire functions, Hadamard Factorization theorem, Range of an analytic function, Bloch’s theorem, the little Picard theorem, Schottky’s theorem, the great Picard theorem.

Über diesen Titel

Über die Autorin bzw. den Autor

Prof Dr N W Khobragade M.Sc (Stats) M.Sc (Maths) MBA, Ph.D (Maths), Ph.D (Stats), Dept. of Maths R.T.M Nagpur University, Nagpur. Seventeen students have been awarded Doctorate degree (Ph.D) under his supervision. He has more than 220 research publication and published 25 books.

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2016
• Sprache: Englisch
• ISBN 10: 3659951757
• ISBN 13: 9783659951756
• Einband: Tapa blanda
• Anzahl der Seiten: 388
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar