f oberhettinger (38 risultati)

Condizione: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:

Condizione: Good. Volume 90. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. Clean from markings. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:

Condizione: New. In.

brossura. Condizione: Perfetto (Mint). Book.

brossura. Condizione: Perfetto (Mint). Book.

Condizione: As New. Unread book in perfect condition.

Condizione: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:

Condizione: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Re-bound by library. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:3540069429.

Hard covers, no dust jacket. Condizione: V.g. No Jacket. 1st edition. Pages tanned. vii, 126, (2) pp. Weight: 1 Language: German.

Paperback. Condizione: Brand New. 901 pages. 9.00x6.00x1.25 inches. In Stock.

Condizione: New. In English.

PF. Condizione: New.

Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This material represents a collection of integral tra- forms involving Bessel (or related) functions as kernel. The following types of inversion formulas have been singled out. k I. g(y) = f (x) (xy) 2J (xy) dx J V 0 k I' . f (x) g (y) (xy) 2J (xy) dy J V 0 II. g(y) f(x) (XY)~K (xy)dx J v 0 c+ioo k 1 II'. f (x) = g (y) (xy) 2 [Iv (xy) + I_v(xy)]dy J 27fT c-ioo or also c+ioo k 1 II'. f(x) = g (y) (xy) 2Iv (xy) dx J rri oo c-i k III. g(y) f(x) (xy) 2y (xy) dx + J v 0 k III' . f(x) g(y) (xy) '1lv (xy) dy J 0 k IV. g(y) f (x) (xy) 'Kv (xy) dx J 0 k g(y) (xy) 2Y (xy)dy IV' f(x) J v 0 V Preface V. g(y) f(X)Kix(y)dx J 0 -2 -1 sinh (7TX) V'. f(x) 27T x g(y)y Kix(y)dy J 0 21-~[r(~~+~-~v)r(~~+~+~v)]-1 VI. g(y) . J f (x) (xy) ~s (xy) dx o ~,v l-~ -1 VI' . f(x) 2 [r (~~+~-~v) r (~~+~+~v) ] J -5 (xy)]dy g(y) (XY)~[S~,v(xy) ~,v 0 [xy)~]dX VII. g(y) f(x) ~ J 0 0 VII' f(x) g(y) [(xy) lz]dy ~ f 0 0 with (z) o (For notations and definitions see the appendix of this book. ) The transform VII is also known as the divisor transform.

PF. Condizione: New.

Condizione: New.

Condizione: New.

Condizione: New. pp. 288.

Condizione: As New. Unread book in perfect condition.

Condizione: New. pp. 444.

paperback. Condizione: New. In shrink wrap. Looks like an interesting title!

Paperback. Condizione: Brand New. reprint edition. 288 pages. 9.00x5.90x0.60 inches. In Stock.

Paperback. Condizione: Brand New. 1st edition. 444 pages. 9.25x6.10x1.00 inches. In Stock.

Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This material represents a collection of integrals of the Laplace- and inverse Laplace Transform type. The usef- ness of this kind of information as a tool in various branches of Mathematics is firmly established. Previous publications include the contributions by A. Erdelyi and Roberts and Kaufmann (see References). Special consideration is given to results involving higher functions as integrand and it is believed that a substantial amount of them is presented here for the first time. Greek letters denote complex parameters within the given range of validity. Latin letters denote (unless otherwise stated) real positive parameters and a possible extension to complex values by analytic continuation will often pose no serious problem. The authors are indebted to Mrs. Jolan Eross for her tireless effort and patience while typing this manu script. Oregon State University Corvallis, Oregon Eastern Michigan University Ypsilanti, Michigan The Authors Contents Part I. Laplace Transforms In troduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. 1 General Formulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 2 Algebraic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 1. 3 Powers of Arbitrary Order. . . . . . . . . . . . . . . . . . . . . . . . 21 1. 4 Sectionally Rational- and Rows of Delta Functions 28 1. 5 Exponential Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 1. 6 Logarithmic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 1. 7 Trigonometric Functions. . . . . . . . . . . . . . . . . . . . . . . . . . 54 1. 8 Inverse Trigonometric Functions. . . . . . . . . . . . . . . . . . 81 1. 9 Hyperbolic Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 1. 10 Inverse Hyperbolic Functions. . . . . . . . . . . . . . . . . . . . . 99 1. 11 Orthogonal Polynomials . . . . . . . -. . . . . . . . . . . . . . . . . . . 103 1. 12 Legendre Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 1. 13 Bessel Functions of Order Zero and Unity . . . . . . . . . 119 1. 14 Bessel Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 1. 15 Modified Bessel Functions . . . . . . . . . . . . . . . . . . . . . . . .

Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book contains tables of integrals of the Mellin transform type z-l J (a) 1 (z) q,(x)x dx o t Since the substitution x = e- transforms (a) into (b) 1 (z) the Mellin transform is sometimes referred to as the two sided Laplace transform. The use of the Mellin transform in various problems in mathematical analysis is well established. Parti cularly widespread and effective is its application to problems arising in analytic number theory. This is partially due to the fact that if Ct. (z) corresponding to a given q,(x) by (a) is known, then Ct. (z) belonging to xaq,(x) or more general to P xaq,(x ) (p real) is likewise known. (See particularly the rules in sections 1. 1 and 2. 1 of this book. ) A list of major contributions conce~ning Mellin trans forms is added at the end of the introduction. Latin letters (unless otherwise stated) denote real positive numbers while Greek letters denote complex parameters within the given range of validity. The author is indebted to Mrs. Jolan Eross for her tireless effort and patience while typing this manuscript. Oregon State University Corvallis, Oregon May 1974 Fritz Oberhettinger Contents Part I. Mellin Transforms Introduction. . . - . - - - . - . . . . . . . . . . . . - - - - . . . - . - . . - - - . - . 1 Some Applications of the Mellin Transform Analysis. --. ---. . . -. -. . . . -- . - . . . . . . --. . . . . -- 6 1. 1 General Formulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1. 2 Algebraic Functions and Powers of Arbitrary Order . . . 13 1. 3 Exponential Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Paperback. Condizione: Very Good. Very Good. book.

X, 213 S. OLwd. (Die Grundlehren d. mathem. Wiss. in Einzeldarst. 90). Sprache: Deutsch.

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This material represents a collection of integral tra- forms involving Bessel (or related) functions as kernel. The following types of inversion formulas have been singled out. k I. g(y) = f (x) (xy) 2J (xy) dx J V 0 k I' . f (x) g (y) (xy) 2J (xy) dy J V 0 II. g(y) f(x) (XY)~K (xy)dx J v 0 c+ioo k 1 II'. f (x) = g (y) (xy) 2 [Iv (xy) + I_v(xy)]dy J 27fT c-ioo or also c+ioo k 1 II'. f(x) = g (y) (xy) 2Iv (xy) dx J rri oo c-i k III. g(y) f(x) (xy) 2y (xy) dx + J v 0 k III' . f(x) g(y) (xy) '1lv (xy) dy J 0 k IV. g(y) f (x) (xy) 'Kv (xy) dx J 0 k g(y) (xy) 2Y (xy)dy IV' f(x) J v 0 V Preface V. g(y) f(X)Kix(y)dx J 0 -2 -1 sinh (7TX) V'. f(x) 27T x g(y)y Kix(y)dy J 0 21-~[r(~~+~-~v)r(~~+~+~v)]-1 VI. g(y) . J f (x) (xy) ~s (xy) dx o ~,v l-~ -1 VI' . f(x) 2 [r (~~+~-~v) r (~~+~+~v) ] J -5 (xy)]dy g(y) (XY)~[S~,v(xy) ~,v 0 [xy)~]dX VII. g(y) f(x) ~ J 0 0 VII' f(x) g(y) [(xy) lz]dy ~ f 0 0 with (z) o (For notations and definitions see the appendix of this book. ) The transform VII is also known as the divisor transform. 304 pp. Englisch.

Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. I. Hankel Transforms.- 1.1 General Formulas.- 1.2 Transforms of Order Zero.- 1.3 Transforms of Order Unity.- Transforms of General Order.- 1.4 Algebraic Functions and Powers with Arbitrary Index.- 1.5 Exponential and Logarithmic Functions.- 1.6 Trigonometri.

Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -I. Hankel Transforms.- 1.1 General Formulas.- 1.2 Transforms of Order Zero.- 1.3 Transforms of Order Unity.- Transforms of General Order.- 1.4 Algebraic Functions and Powers with Arbitrary Index.- 1.5 Exponential and Logarithmic Functions.- 1.6 Trigonometric and Inverse Trigonometric Functions.- 1.7 Orthogonal Polynomials.- 1.8 Miscellaneous Functions.- 1.9 Legendre Functions.- 1.10 Bessel Functions of Argument x.- 1.11 Bessel Functions of Other Arguments.- 1.12 Modified Bessel Functions of Argument x.- 1.13 Modified Bessel Functions of Other Arguments.- 1.14 Functions Related to Bessel Functions.- 1.15 Parabolic Cylinder Functions.- 1.16 Whittaker Functions.- 1.17 Gauss' Hypergeometric Function.- II. Integral Transforms with Modified Bessel Functions as Kernel.- 2.1 General Formulas.- 2.2 Transforms of Order Zero.- Transforms of General Order.- 2.3 Elementary Functions.- 2.4 Higher Transcendental Functions.- III. Integral Transforms with Neumann Functions as Kernel.- 3.1 General Formulas.- 3.2 Transforms of Order Zero.- Transforms of General Order.- 3.3 Elementary Functions.- 3.4 Higher Transcendental Functions.- IV. Integral Transforms with Struve Functions as Kernel.- 4.1 General Formulas.- 4.2 Transforms of Order Zero.- 4.3 Elementary Functions.- 4.4 Higher Transcendental Functions.- V. Kontorovich-Lebedev Transforms.- VI. Transforms with Lommel Functions as Kernel.- VII. Divisor Transforms.- Appendix. List of Notations and Definitions.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 304 pp. Englisch.

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book contains tables of integrals of the Mellin transform type z-l J (a) 1 (z) q,(x)x dx o t Since the substitution x = e- transforms (a) into (b) 1 (z) the Mellin transform is sometimes referred to as the two sided Laplace transform. The use of the Mellin transform in various problems in mathematical analysis is well established. Parti cularly widespread and effective is its application to problems arising in analytic number theory. This is partially due to the fact that if Ct. (z) corresponding to a given q,(x) by (a) is known, then Ct. (z) belonging to xaq,(x) or more general to P xaq,(x ) (p real) is likewise known. (See particularly the rules in sections 1. 1 and 2. 1 of this book. ) A list of major contributions conce~ning Mellin trans forms is added at the end of the introduction. Latin letters (unless otherwise stated) denote real positive numbers while Greek letters denote complex parameters within the given range of validity. The author is indebted to Mrs. Jolan Eross for her tireless effort and patience while typing this manuscript. Oregon State University Corvallis, Oregon May 1974 Fritz Oberhettinger Contents Part I. Mellin Transforms Introduction. . . - . - - - . - . . . . . . . . . . . . - - - - . . . - . - . . - - - . - . 1 Some Applications of the Mellin Transform Analysis. --. ---. . . -. -. . . . -- . - . . . . . . --. . . . . -- 6 1. 1 General Formulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 1. 2 Algebraic Functions and Powers of Arbitrary Order . . . 13 1. 3 Exponential Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 288 pp. Englisch.