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Fractional calculus
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121	21 Super Calculus of the product of many functions 21.1 Super Integrals of the product of many functions (1) Generalized binomial theorem and Super integral of the product of 2 functions According to the generalized bino Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-11 05:32:07 Binomial theorem Mathematical series Normal distribution Fourier transform Mathematical analysis Mathematics Integral transforms
122 $Number theory / Combinatorics / Polygamma function / Gamma function / Factorial / Trigamma function / Partial fractions in complex analysis / Methods of contour integration / Mathematical analysis / Mathematics / Complex analysis$	1 Gamma Function & Digamma Function 1.1 Gamma Function The gamma function is defined to be an extension of the factorial to real number arguments. By this, for example, a definition of (1/2) ! and the calculation is enab Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-10 10:09:07 Number theory Combinatorics Polygamma function Gamma function Factorial Trigamma function Partial fractions in complex analysis Methods of contour integration Mathematical analysis Mathematics Complex analysis
123	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
124	13 Termwise Super Derivative In this chapter, for the function whose super derivatives are difficult to be expressed with easy formulas, we differentiate the series expansion of these functions non integer times termwise Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-12 02:58:29 Integer sequences Bernoulli number Factorial Hyperbolic function 2K Bernoulli polynomials Ramanujan summation Mathematics Mathematical analysis Number theory
125	12 Super Derivative (Non-integer times Derivative[removed]Super Derivative and Super Differentiation Defintion[removed]f Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-10 20:30:39 Integral calculus Fractional calculus Functions and mappings Differential calculus Logarithms Riemann–Liouville integral Antiderivative Derivative Hyperbolic function Mathematical analysis Calculus Mathematics
126	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
127	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
128	3 Higher Calculus of Binomial Identity The simplest one of Binomial Identity is given as follows. n (1+ x)n = ΣnＣ s x s Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-11 23:38:48 Summation Combinatorics Integer sequences Number theory Permutation Normal distribution Mathematics Arithmetic Mathematical notation
129	7 Super Integral (Non-integer order Integral) 7.1 Super Primitive Function and Super Integral m n Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-19 08:31:45 Integral calculus Fractional calculus Exponentials Antiderivative Riemann–Liouville integral Integral Hyperbolic function Expected value Gaussian integral Mathematical analysis Mathematics Calculus
130	2 Formulas for Dirichlet Beta Formulas for Beta obtained in " 1 Dirichlet Beta Generating Functions " were automorphisms those were expressed by the lower betas. In this chapter, removing the lower betas, we obtain the e Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-11 07:05:51 Polygons Number theory

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