fundamental theorem of calculus
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41—50 of 146 matching pages
41: 29.7 Asymptotic Expansions
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►Müller (1966a, b) found three formal asymptotic expansions for a fundamental system of solutions of (29.2.1) (and (29.11.1)) as , one in terms of Jacobian elliptic functions and two in terms of Hermite polynomials.
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42: Bibliography B
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Abelian Functions: Abel’s Theorem and the Allied Theory of Theta Functions.
Cambridge University Press, Cambridge.
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Waves and Thom’s theorem.
Advances in Physics 25 (1), pp. 1–26.
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Elements of the Integral Calculus.
2nd edition, Ginn & Co., Boston.
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43: 13.13 Addition and Multiplication Theorems
§13.13 Addition and Multiplication Theorems
►§13.13(i) Addition Theorems for
… ►§13.13(ii) Addition Theorems for
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13.13.12
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§13.13(iii) Multiplication Theorems for and
…44: 10.23 Sums
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§10.23(i) Multiplication Theorem
… ►§10.23(ii) Addition Theorems
►Neumann’s Addition Theorem
… ►Graf’s and Gegenbauer’s Addition Theorems
… ► …45: 27.16 Cryptography
46: 14.28 Sums
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§14.28(i) Addition Theorem
… ►For generalizations in terms of Gegenbauer and Jacobi polynomials, see Theorem 2. 1 in Cohl (2013b) and Theorem 1 in Cohl (2013a) respectively. …47: 13.26 Addition and Multiplication Theorems
§13.26 Addition and Multiplication Theorems
►§13.26(i) Addition Theorems for
… ►§13.26(ii) Addition Theorems for
… ►§13.26(iii) Multiplication Theorems for and
…48: 22.18 Mathematical Applications
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§22.18(iv) Elliptic Curves and the Jacobi–Abel Addition Theorem
… ►With the identification , , the addition law (22.18.8) is transformed into the addition theorem (22.8.1); see Akhiezer (1990, pp. 42, 45, 73–74) and McKean and Moll (1999, §§2.14, 2.16). …49: Hans Volkmer
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►His book Multiparameter Eigenvalue Problems and Expansion Theorems was published by Springer as Lecture Notes in Mathematics No.
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50: Peter L. Walker
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►Walker’s books are An Introduction to Complex Analysis, published by Hilger in 1974, The Theory of Fourier Series and Integrals, published by Wiley in 1986, Elliptic Functions. A Constructive Approach, published by Wiley in 1996, and Examples and Theorems in Analysis, published by Springer in 2004.
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