An Atlas of Functions

Oldham, Keit; Myland, Jan; Spanier, Jerome

An Atlas of Functions

Keit Oldham (), Jan Myland () and Jerome Spanier ()
Additional contact information
Keit Oldham: Trent University, Dept. Chemistry, Electrochemical Lab.
Jan Myland: Trent University, Dept. Chemistry
Jerome Spanier: University of California, Irvine, Beckman Laser Institute

in Springer Books from Springer

Date: 2009
ISBN: 978-0-387-48807-3
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Chapters in this book:

Ch Chapter 0 General Considerations: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 1 The Constant Function c: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 10 The Integer Powers x n And (bx+c) n: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 11 The Square-Root Function $\sqrt {bx + c}$ and Its Reciprocal: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 12 The Noninteger Powers x v: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 13 The Semielliptic Function $\left( {b/a} \right)\sqrt {a^2 {\kern 1pt} - x^2 }$ and Its Reciprocal: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 14 The Semihyperbolic Functions $\left( {b/a} \right)\sqrt {x^2 {\kern 1pt} \pm a^2 }$ And Their Reciprocals: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 15 The Quadratic Function ax 2+bx+c and Its Reciprocal: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 16 The Cubic Function x 3 + ax 2 + bx + c: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 17 Polynomial Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 18 The Pochhammer Polynomials (x) n: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 19 The Bernoulli Polynomials B n (x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 2 The Factorial Function n!: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 20 The Euler Polynomials E n (x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 21 The Legendre Polynomials P n (x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 22 The Chebyshev Polynomials T n (x) and U n (x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 23 The Laguerre Polynomials L n (x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 24 The Hermite Polynomials H n (x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 25 The Logarithmic Function ln(x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 26 The Exponential Function exp(±x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 27 Exponentials of Powers exp(± x v ): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 28 The Hyperbolic Cosine Cosh(x) and Sine Sinh(x) Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 29 The Hyperbolic Secant Sech(x) and Cosecant Csch(x) Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 3 The Zeta Numbers and Related Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 30 The Hyperbolic Tangent tanh(x) and Cotangent coth(x) Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 31 The Inverse Hyperbolic Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 32 The Cosine cos(x) and Sine sin(x) Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 33 The Secant sec(x) And cosecant csc(x) Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 34 The Tangent tan(x) and Cotangent cot(x) Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 35 The Inverse Circular Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 36 Periodic Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 37 The Exponential Integrals Ei(x) and Ein(x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 38 Sine and Cosine Integrals: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 39 The Fresnel Integrals C(x) and S(x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 4 The Bernoulli Numbers B n: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 40 The Error Function erf(x) and Its Complement erfc(x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 41 The $\exp \left( x \right){\mathop{\rm erfc}\nolimits} \left( {\sqrt x } \right)$ and Related Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 42 Dawson’s Integral daw(x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 43 The Gamma Function Γ(v): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 44 The Digamma Function ψ(v): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 45 The Incomplete Gamma Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 46 The Parabolic Cylinder Function D v (x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 47 The Kummer Function M(a,c,x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 48 The Tricomi Function U(a,c,x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 49 The Modified Bessel Functions I n (x) of Integer Order: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 5 The Euler Numbers E n: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 50 The Modified Bessel Function I v (x) of Arbitrary Order: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 51 The Macdonald Function K v (x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 52 The Bessel Functions J n (x) of Integer Order: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 53 The Bessel Function J v (x) of Arbitrary Order: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 54 The Neumann Function Y v (x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 55 The Kelvin Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 56 The Airy Functions Ai(x) and Bi(x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 57 The Struve Function h v (x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 58 The Incomplete Beta Function B(v,μ,x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 59 The Legendre Functions P v (x) and Q v (x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 6 The Binomial Coefficients $\left( {_m^v } \right)$: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 60 The Gauss Hypergeometric Function F(a,b,c,x): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 61 The Complete Elliptic Integrals K(k) and E(k): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 62 The Incomplete Elliptic Integrals F(k,ϕ) AND E(k,ϕ): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 63 The Jacobian Elliptic Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 64 The Hurwitz Function ζ(v, u): Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 7 The Linear Function bx + c and Its Reciprocal: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 8 Modifying Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier
Ch Chapter 9 The Heaviside u(x−a) And Dirac δ(x−a) Functions: Keith B. Oldham, Jan C. Myland and Jerome Spanier

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DOI: 10.1007/978-0-387-48807-3

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