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An Atlas of Functions
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DOI: 10.1007/978-0-387-48807-3
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Book Chapters
The following chapters of this book are listed in IDEAS- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "General Considerations," Springer Books, in: An Atlas of Functions, chapter 0, pages 1-11, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Constant Function c," Springer Books, in: An Atlas of Functions, chapter 0, pages 13-19, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Factorial Function n!," Springer Books, in: An Atlas of Functions, chapter 0, pages 21-27, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Zeta Numbers and Related Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 29-38, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Bernoulli Numbers B n," Springer Books, in: An Atlas of Functions, chapter 0, pages 39-44, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Euler Numbers E n," Springer Books, in: An Atlas of Functions, chapter 0, pages 45-48, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Binomial Coefficients $\left( {_m^v } \right)$," Springer Books, in: An Atlas of Functions, chapter 0, pages 49-56, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Linear Function bx + c and Its Reciprocal," Springer Books, in: An Atlas of Functions, chapter 0, pages 57-65, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "Modifying Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 67-74, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Heaviside u(x−a) And Dirac δ(x−a) Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 75-80, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Integer Powers x n And (bx+c) n," Springer Books, in: An Atlas of Functions, chapter 0, pages 81-93, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Square-Root Function $\sqrt {bx + c}$ and Its Reciprocal," Springer Books, in: An Atlas of Functions, chapter 0, pages 95-102, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Noninteger Powers x v," Springer Books, in: An Atlas of Functions, chapter 0, pages 103-112, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Semielliptic Function $\left( {b/a} \right)\sqrt {a^2 {\kern 1pt} - x^2 }$ and Its Reciprocal," Springer Books, in: An Atlas of Functions, chapter 0, pages 113-120, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Semihyperbolic Functions $\left( {b/a} \right)\sqrt {x^2 {\kern 1pt} \pm a^2 }$ And Their Reciprocals," Springer Books, in: An Atlas of Functions, chapter 0, pages 121-130, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Quadratic Function ax 2+bx+c and Its Reciprocal," Springer Books, in: An Atlas of Functions, chapter 0, pages 131-138, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Cubic Function x 3 + ax 2 + bx + c," Springer Books, in: An Atlas of Functions, chapter 0, pages 139-146, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "Polynomial Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 147-158, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Pochhammer Polynomials (x) n," Springer Books, in: An Atlas of Functions, chapter 0, pages 159-174, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Bernoulli Polynomials B n (x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 175-180, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Euler Polynomials E n (x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 181-186, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Legendre Polynomials P n (x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 187-196, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Chebyshev Polynomials T n (x) and U n (x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 197-208, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Laguerre Polynomials L n (x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 209-216, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Hermite Polynomials H n (x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 217-227, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Logarithmic Function ln(x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 229-239, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Exponential Function exp(±x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 241-253, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "Exponentials of Powers exp(± x v )," Springer Books, in: An Atlas of Functions, chapter 0, pages 255-267, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Hyperbolic Cosine Cosh(x) and Sine Sinh(x) Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 269-279, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Hyperbolic Secant Sech(x) and Cosecant Csch(x) Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 281-288, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Hyperbolic Tangent tanh(x) and Cotangent coth(x) Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 289-296, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Inverse Hyperbolic Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 297-307, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Cosine cos(x) and Sine sin(x) Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 309-328, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Secant sec(x) And cosecant csc(x) Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 329-338, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Tangent tan(x) and Cotangent cot(x) Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 339-350, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Inverse Circular Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 351-366, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "Periodic Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 367-374, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Exponential Integrals Ei(x) and Ein(x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 375-383, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "Sine and Cosine Integrals," Springer Books, in: An Atlas of Functions, chapter 0, pages 385-394, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Fresnel Integrals C(x) and S(x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 395-404, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Error Function erf(x) and Its Complement erfc(x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 405-415, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The $\exp \left( x \right){\mathop{\rm erfc}\nolimits} \left( {\sqrt x } \right)$ and Related Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 417-426, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "Dawson’s Integral daw(x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 427-433, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Gamma Function Γ(v)," Springer Books, in: An Atlas of Functions, chapter 0, pages 435-448, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Digamma Function ψ(v)," Springer Books, in: An Atlas of Functions, chapter 0, pages 449-460, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Incomplete Gamma Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 461-470, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Parabolic Cylinder Function D v (x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 471-484, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Kummer Function M(a,c,x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 485-496, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Tricomi Function U(a,c,x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 497-506, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Modified Bessel Functions I n (x) of Integer Order," Springer Books, in: An Atlas of Functions, chapter 0, pages 507-517, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Modified Bessel Function I v (x) of Arbitrary Order," Springer Books, in: An Atlas of Functions, chapter 0, pages 519-526, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Macdonald Function K v (x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 527-536, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Bessel Functions J n (x) of Integer Order," Springer Books, in: An Atlas of Functions, chapter 0, pages 537-552, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Bessel Function J v (x) of Arbitrary Order," Springer Books, in: An Atlas of Functions, chapter 0, pages 553-565, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Neumann Function Y v (x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 567-576, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Kelvin Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 577-584, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Airy Functions Ai(x) and Bi(x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 585-592, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Struve Function h v (x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 593-601, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Incomplete Beta Function B(v,μ,x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 603-609, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Legendre Functions P v (x) and Q v (x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 611-626, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Gauss Hypergeometric Function F(a,b,c,x)," Springer Books, in: An Atlas of Functions, chapter 0, pages 627-636, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Complete Elliptic Integrals K(k) and E(k)," Springer Books, in: An Atlas of Functions, chapter 0, pages 637-651, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Incomplete Elliptic Integrals F(k,ϕ) AND E(k,ϕ)," Springer Books, in: An Atlas of Functions, chapter 0, pages 653-669, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Jacobian Elliptic Functions," Springer Books, in: An Atlas of Functions, chapter 0, pages 671-684, Springer.
- Keith B. Oldham & Jan C. Myland & Jerome Spanier, 2008. "The Hurwitz Function ζ(v, u)," Springer Books, in: An Atlas of Functions, chapter 0, pages 685-695, Springer.
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