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Trigonometric series
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#	Item
101	06 Termwise Higher Integral (Inv-Trigonometric, Inv-Hyperbolic) The 2nd or more order integrals of Inverse Trigonometric Functions and Inverse Hyperbolic Functions were all shown in 4.4 and[removed]However, as for these, t Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-10 10:41:25 Number theory Integer sequences Mathematical series 2K Inverse trigonometric functions Factorial Pi Ramanujan summation Wallis product Mathematics Mathematical analysis Complex analysis
102	1 Dirichlet Beta Generating Functions Both of hyperbolic functions and trigonometric functions can be expanded to Fourier series and Taylor series. And if the termwise higher order integration of these is carried out, Di Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-11 07:05:47 Exponentials Hyperbolic function Hyperbolic geometry Mathematical analysis Mathematics Special functions
103	1 Zeta Generating Functions Both of hyperbolic functions and trigonometric functions can be expanded to Fourier series and Taylor series. And if the termwise higher order integration of these is carried out, Riemann Zeta Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-11 09:40:24 Hyperbolic function Hyperbolic geometry Taylor series Mathematical analysis Mathematics Exponentials
104	3 Formulas for Riemann Zeta at odd number Formulas for Zeta at odd number obtained in " 1 Zeta Generating Functions " were automorphisms which were expressed by the lower zetas. In this chapter, removing the lower zetas, Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-12 03:41:00 Number theory Mathematical series Trigonometry Real analysis Taylor series Euler number Trigonometric functions Bernoulli number Riemann zeta function Mathematical analysis Mathematics Integer sequences
105	05 Termwise Higher Integral (Trigonometric, Hyperbolic) In this chapter, for the function which second or more order integral cannot be expressed with the elementary functions among trigonometric functions and hyperbolic Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-10 10:41:22 Number theory Trigonometry Complex analysis Mathematical series Hyperbolic function 2K Trigonometric functions Fourier series Bernoulli number Mathematical analysis Mathematics Analytic functions
106	(February 19, [removed]Applications to Fourier series Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2005-02-19 15:28:47 Joseph Fourier Approximation theory Harmonic analysis Fourier series Uniform boundedness principle Trigonometric polynomial Continuous function Riemann–Lebesgue lemma Fourier transform Mathematical analysis Mathematics Fourier analysis
107	10 Termwise Higher Derivative (Trigonometric, Hyperbolic) In this chapter, for the function which the second or more order derivative is difficult to express with an easy unification notation among trigonometric function Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-10 20:30:43 Trigonometry Integer sequences Analytic functions Complex analysis Trigonometric functions Hyperbolic function 2K Taylor series Bernoulli number Mathematical analysis Mathematics Number theory
108	08 Termwise Super Integral In this chapter, for the function which super (non-integer order) integral cannot be expressed with elementary functions, we integrate with the series expansion of these function non-integer ti Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-10 10:41:29 Integer sequences Mathematical series Inverse trigonometric functions Trigonometry Integral Bernoulli number Pi Factorial Ramanujan summation Mathematics Mathematical analysis Number theory
109	Fourier Transforms “The whole is the sum of the parts” Euclid Fourier Series As nmr spectroscopists working with modern digital equipment we routinely acquire data in the form of the free induction decay. This Add to Reading List Source URL: chem4823.usask.ca Language: English - Date: 2013-07-09 13:11:24 Integral transforms Joseph Fourier Trigonometry Calculus Fourier series Fourier transform Trigonometric functions Vector space Sinc function Mathematical analysis Mathematics Fourier analysis
110	2 Multifactorial 2.1 Double Factorial[removed]The definition of a Double Factorial Definition[removed]m, n denote a natural number, Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-10 10:09:11 Number theory Complex analysis Mathematical series Exponentials Hyperbolic function Inverse hyperbolic function Factorial Trigonometric functions Pi Mathematical analysis Mathematics Analytic functions

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