An Atlas of Functions with Equator, the Atlas Function Calculator /

• Κύριοι συγγραφείς: Oldham, Keit (Συγγραφέας), Myland, Jan (Συγγραφέας), Spanier, Jerome (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer US, 2009.
• Θέματα: Mathematics.; Functions of real variables.; Special functions.; Applied mathematics.; Engineering mathematics.; Physics.; Computational intelligence.; Applications of Mathematics.; Special Functions.; Real Functions.; Theoretical, Mathematical and Computational Physics.; Computational Intelligence.

This second edition of An Atlas of Functions, with Equator, the Atlas Function Calculator, provides comprehensive information on several hundred functions or function families of interest to scientists, engineers and mathematicians who are concerned with the quantitative aspects of their field. Begi...

Πίνακας περιεχομένων:

• General Considerations
• The Constant Function c
• The Factorial Function n!
• The Zeta Numbers and Related Functions
• The Bernoulli Numbers B n
• The Euler Numbers E n
• The Binomial Coefficients
• The Linear Function bx + c and Its Reciprocal
• Modifying Functions
• The Heaviside u(x?a) And Dirac ?(x?a) Functions
• The Integer Powers x n And (bx+c) n
• The Square-Root Function and Its Reciprocal
• The Noninteger Powers x v
• The Semielliptic Function and Its Reciprocal
• The Semihyperbolic Functions And Their Reciprocals
• The Quadratic Function ax 2+bx+c and Its Reciprocal
• The Cubic Function x 3 + ax 2 + bx + c
• Polynomial Functions
• The Pochhammer Polynomials (x) n
• The Bernoulli Polynomials B n (x)
• The Euler Polynomials E n (x)
• The Legendre Polynomials P n (x)
• The Chebyshev Polynomials T n (x) and U n (x)
• The Laguerre Polynomials L n (x)
• The Hermite Polynomials H n (x)
• The Logarithmic Function ln(x)
• The Exponential Function exp(±x)
• Exponentials of Powers exp(± x v )
• The Hyperbolic Cosine Cosh(x) and Sine Sinh(x) Functions
• The Hyperbolic Secant Sech(x) and Cosecant Csch(x) Functions
• The Hyperbolic Tangent tanh(x) and Cotangent coth(x) Functions
• The Inverse Hyperbolic Functions
• The Cosine cos(x) and Sine sin(x) Functions
• The Secant sec(x) And cosecant csc(x) Functions
• The Tangent tan(x) and Cotangent cot(x) Functions
• The Inverse Circular Functions
• Periodic Functions
• The Exponential Integrals Ei(x) and Ein(x)
• Sine and Cosine Integrals
• The Fresnel Integrals C(x) and S(x)
• The Error Function erf(x) and Its Complement erfc(x)
• The and Related Functions
• Dawson’s Integral daw(x)
• The Gamma Function ?(v)
• The Digamma Function ?(v)
• The Incomplete Gamma Functions
• The Parabolic Cylinder Function D v (x)
• The Kummer Function M(a,c,x)
• The Tricomi Function U(a,c,x)
• The Modified Bessel Functions I n (x) of Integer Order
• The Modified Bessel Function I v (x) of Arbitrary Order
• The Macdonald Function K v (x)
• The Bessel Functions J n (x) of Integer Order
• The Bessel Function J v (x) of Arbitrary Order
• The Neumann Function Y v (x)
• The Kelvin Functions
• The Airy Functions Ai(x) and Bi(x)
• The Struve Function h v (x)
• The Incomplete Beta Function B(v,?,x)
• The Legendre Functions P v (x) and Q v (x)
• The Gauss Hypergeometric Function F(a,b,c,x)
• The Complete Elliptic Integrals K(k) and E(k)
• The Incomplete Elliptic Integrals F(k,?) AND E(k,?)
• The Jacobian Elliptic Functions
• The Hurwitz Function ?(v, u).