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An Atlas of Functions - with Equator, the Atlas Function Calculator (Paperback, Softcover reprint of the original 2nd ed. 2009)
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An Atlas of Functions - with Equator, the Atlas Function Calculator (Paperback, Softcover reprint of the original 2nd ed. 2009)
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Preface.- The Constant Function c.- The Factorial Function n!.- The
Zeta Numbers and Related Functions.- The Bernoulli Numbers Bn.- The
Euler Numbers En.- The Bionmial Coefficients.- The Linear Function
bx + c and Its Reciprocal.- Modifying Functions.- The Heaviside and
Dirac Functions.- The Integer Powers xn and (bx + c)n.- The
Square-Root Function and Its Reciprocal.- The Noninteger Power xv.-
The Semielliptic Function and Its Reciprocal.- The (b/a)square root
of x2 +- a2 Functions and Their Reciprocals.- The Quadratic
Function ax + bx + c and Its Reciprocal.- The Cubic Function x3 +
bx + c.- Polynomial Functions.- The Pochhammer Polynomials (x)n.-
The Bernoulli Polynomials Bn(x).- The Euler Polynomials En(x).- The
Legendre Polynomials Pn(x).- The Chebyshev Polynomials Tn(x) and
Un(x).- The Laguerre Polynomials Ln(x).- The Hermite Polynomials
Hn(x).- The Logarithmic Function ln(x).- The Exponential Function
exp(x).- Exponential of Powers.- The Hyperbolic Cosine cosh(x). and
Sine sinh(x) Functions.- The Hyperbolic Secant and Cosecant
Functions.- The Inverse Hyperbolic Functions.- The Cosine cox(x)
and Sine sin(x) Functions.- The Secant sec(x) and Cosecant csc(x)
Fucntions.- 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 exp(x)erfc(square root of x) and Related
Functions.- Dawson's Integral daw(x).- The Gamma Function.- The
Digamma Function.- The Incomplete Gamma Functions.- The Parabolic
Cylinder Function Dv(x).- The Kummer Function M(a, c, x).- The
Tricomi Function U(a, c, x).- The Modified Bessel Functions In(x)
of Integer Order.- The Modified Bessel Functions of In(x) Arbitrary
Order.- The Macdonald Function Kv(x).- The Bessel Functions Jn(x)
of Integer Order.- The Bessel Functions Jv(x) of Arbitrary Order.-
The Neumann Function Yv(x). The Kelvin Functions.- The Airy
Functions Ai(x) and Bi(x).- The Struve Function hv(x).- The
Incomplete Beta Function.- The Legendre Functions Pv(x) and Qv(x).-
The Gauss Hypergeometric Function F(a, b, c, x).- The Complete
Elliptic Integrals K(k) and E(k).- The Incomplete Elliptic
Integrals.- The Jacobian Elliptic Functions.- The Hurwitz
Function.- Appendix A: Useful Data.- Appendix B: Bibliography.-
Appendix C: Equator, The Atlas Function Calculator.- Symbol Index.-
Subject Ind
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