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The Fractional Trigonometry : With Applications to Fractional Differential Equations and Science.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lorenzo, Carl F.
Otros Autores: Hartley, Tom T.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Somerset : Wiley, 2016.
Temas:
Acceso en línea:Texto completo

MARC

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035 |a (OCoLC)963667098 
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049 |a UAMI 
100 1 |a Lorenzo, Carl F. 
245 1 4 |a The Fractional Trigonometry :  |b With Applications to Fractional Differential Equations and Science. 
260 |a Somerset :  |b Wiley,  |c 2016. 
300 |a 1 online resource (637 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
588 0 |a Print version record. 
505 0 |a Title Page; Copyright; Table of Contents; Preface; Acknowledgments; About the Companion Website; Chapter 1: Introduction; 1.1 Background; 1.2 The Fractional Integral and Derivative; 1.3 The Traditional Trigonometry; 1.4 Previous Efforts; 1.5 Expectations of a Generalized Trigonometry and Hyperboletry; Chapter 2: The Fractional Exponential Function via the Fundamental Fractional Differential Equation; 2.1 The Fundamental Fractional Differential Equation; 2.2 The Generalized Impulse Response Function; 2.3 Relationship of the F-function to the Mittag-Leffler Function. 
505 8 |a 2.4 Properties of the F-Function2.5 Behavior of the F-Function as the Parameter a Varies; 2.6 Example; Chapter 3: The Generalized Fractional Exponential Function: The R-Function and Other Functions for the Fractional Calculus; 3.1 Introduction; 3.2 Functions for the Fractional Calculus; 3.3 The R-Function: A Generalized Function; 3.4 Properties of the Rq, v(a, t)-Function; 3.5 Relationship of the R-Function to the Elementary Functions; 3.6 R-Function Identities; 3.7 Relationship of the R-Function to the Fractional Calculus Functions; 3.8 Example: Cooling Manifold. 
505 8 |a 3.9 Further Generalized Functions: The G-Function and the H-Function3.10 Preliminaries to the Fractional Trigonometry Development; 3.11 Eigen Character of the R-Function; 3.12 Fractional Differintegral of the Timescaled R-Function; 3.13 R-Function Relationships; 3.14 Roots of Complex Numbers; 3.15 Indexed Forms of the R-Function; 3.16 Term-by-Term Operations; 3.17 Discussion; Chapter 4: R-Function Relationships; 4.1 R-Function Basics; 4.2 Relationships for Rm,0 in Terms of R1,0; 4.3 Relationships for R1/m,0 in Terms of R1,0; 4.4 Relationships for the Rational Form Rm/p,0 in Terms of R1/p,0. 
505 8 |a 4.5 Relationships for R1/p,0 in Terms of Rm/p,04.6 Relating Rm/p,0 to the Exponential Function R1,0(b, t) = ebt; 4.7 Inverse Relationships -- Relationships for R1,0 in Terms of Rm, k; 4.8 Inverse Relationships -- Relationships for R1,0 in Terms of R1/m,0; 4.9 Inverse Relationships -- Relationships for eat = R1,0(a, t) in Terms of Rm/p,0; 4.10 Discussion; Chapter 5: The Fractional Hyperboletry; 5.1 The Fractional R1-Hyperbolic Functions; 5.2 R1-Hyperbolic Function Relationship; 5.3 Fractional Calculus Operations on the R1-Hyperbolic Functions; 5.4 Laplace Transforms of the R1-Hyperbolic Functions. 
505 8 |a 5.5 Complexity-Based Hyperbolic Functions5.6 Fractional Hyperbolic Differential Equations; 5.7 Example; 5.8 Discussions; Chapter 6: The R1-Fractional Trigonometry; 6.1 R1-Trigonometric Functions; 6.2 R1-Trigonometric Function Interrelationship; 6.3 Relationships to R1-Hyperbolic Functions; 6.4 Fractional Calculus Operations on the R1-Trigonometric Functions; 6.5 Laplace Transforms of the R1-Trigonometric Functions; 6.6 Complexity-Based R1-Trigonometric Functions; 6.7 Fractional Differential Equations; Chapter 7: The R2-Fractional Trigonometry. 
500 |a 7.1 R2-Trigonometric Functions: Based on Real and Imaginary Parts. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Fractional calculus. 
650 0 |a Trigonometry. 
650 6 |a Dérivées fractionnaires. 
650 6 |a Trigonométrie. 
650 7 |a trigonometry.  |2 aat 
650 7 |a Fractional calculus  |2 fast 
650 7 |a Trigonometry  |2 fast 
700 1 |a Hartley, Tom T. 
758 |i has work:  |a Fractional trigonometry (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGXYyMHgXfcCVTM6kkCBbm  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Lorenzo, Carl F.  |t Fractional Trigonometry : With Applications to Fractional Differential Equations and Science.  |d Somerset : Wiley, ©2016  |z 9781119139409 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4735391  |z Texto completo 
936 |a BATCHLOAD 
938 |a Askews and Holts Library Services  |b ASKH  |n AH30892890 
994 |a 92  |b IZTAP