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- Laplace pdf
- Laplace transform
- Lattice generated by doubly periodic periods
- Laurent series for log((z+1)/(z-1)) for absolute value of z greater than 1
- Laurent series of the Riemann zeta function
- Lefschetz zeta function
- Legendre's constant
- Legendre P
- Legendre chi
- Legendre chi in terms of Lerch transcendent
- Legendre chi in terms of polylogarithm
- Legendre polynomial
- Leonard Lewin/Polylogarithms and Associated Functions
- Lerch transcendent
- Lerch transcendent polylogarithm
- Lerch zeta function
- Li2(z)=zPhi(z,2,1)
- Li 2(1)=pi^2/6
- Li 2(z)+Li 2(1-z)=pi^2/6-log(z)log(1-z)
- Li 2(z)=-Li 2(1/z)-(1/2)(log z)^2 + i pi log(z) + pi^2/3
- Libera operator
- Limit of (1/Gamma(c))*2F1(a,b;c;z) as c approaches -m
- Limit of erf when z approaches infinity and the modulus of arg(z) is less than pi/4
- Limit of log(x)/x^a=0
- Limit of q-exponential E sub 1/q for 0 less than q less than 1
- Limit of quotient of consecutive Fibonacci numbers
- Limit of x^a log(x)=0
- Limiting value of Fresnel C
- Limiting value of Fresnel S
- Liouville function
- Liouville lambda
- Log((1+z)/(1-z)) as continued fraction
- Log(1+x) less than x
- Log(1+z) as continued fraction
- Log(x) less than or equal to n(x^(1/n)-1)
- Log(x) less than or equal to x-1
- Log(z)=log(10)log 10(z)
- Log 10(z)=log(z)/log(10)
- Log 10(z)=log 10(e)log(z)
- Log a(b)=1/log b(a)
- Log a(z)=1/log b(a)
- Log base a in terms of logarithm base b
- Log e(z)=log(z)
- Logarithm
- Logarithm (multivalued)
- Logarithm (multivalued) of a positive integer power function
- Logarithm (multivalued) of a quotient is a difference of logarithms (multivalued)
- Logarithm (multivalued) of positive integer exponents
- Logarithm (multivalued) of product is a sum of logarithms (multivalued)
- Logarithm (multivalued) of the exponential
- Logarithm and friends footer
- Logarithm at -i
- Logarithm at i
- Logarithm at minus 1
- Logarithm base a
- Logarithm diverges to negative infinity at 0 from right
- Logarithm of 1
- Logarithm of a complex number
- Logarithm of a quotient is a difference of logarithms
- Logarithm of a quotient of Jacobi theta 4 equals a sum of sines
- Logarithm of exponential
- Logarithm of product is a sum of logarithms
- Logarithm of quotient of Jacobi theta 1 equals the log of a quotient of sines + a sum of sines
- Logarithm of quotient of Jacobi theta 2 equals the log of a quotient of cosines + a sum of sines
- Logarithm of quotient of Jacobi theta 3 equals a sum of sines
- Logarithmic derivative of Jacobi theta 1 equals cotangent + a sum of sines
- Logarithmic derivative of Jacobi theta 2 equals negative tangent + a sum of sines
- Logarithmic derivative of Jacobi theta 3 equals a sum of sines
- Logarithmic derivative of Jacobi theta 4 equals a sum of sines
- Logarithmic derivative of Riemann zeta in terms of Mangoldt function
- Logarithmic derivative of Riemann zeta in terms of series over primes
- Logarithmic integral
- Logarithmically convex
- Loggamma
- Lower incomplete gamma
- Lucas
- Lucas numbers
- Lucas polynomial
- Main Page
- Mangoldt
- Mangoldt function
- Matrix e^A=limit of (I+A/s)^s
- Matrix exponential
- Matsumoto zeta function
- McCarthy function
- McCarthy function is continuous
- McCarthy function is nowhere differentiable
- Meijer G-function
- Meissel-Mertens constant
- Meissel-Mertens constant in terms of the Euler-Mascheroni constant
- Meixner polynomial
- Meromorphic continuation of q-exponential E sub q
- Mersenne numbers
- Mertens
- Mertens function
- Mills' constant
- Minkowski question mark
- Minkowski question mark function
- Mittag-Leffler
- Mobius function
- Modified Bessel I
- Modified Bessel I sub nu
- Modified Bessel K
- Modified Bessel K sub nu
- Modified Struve function
- Modular form
- Mott polynomial
- Multiple gamma function
- Möbius
- Möbius function
- Möbius function is multiplicative
- NC n^(lambda)(x)=(n-1+2lambda)xC (n-1)^(lambda)(x)-2lambda(1-x^2)C (n-2)^(lambda-1)(x)
- NC n^(lambda)(x)=2lambda(xC (n-1)^(lambda+1)(x)-C (n-2)^(lambda+1)(x)
- NC n^(lambda)(x)=2lambda(xC (n-1)^(lambda+1)(x)-C (n-2)^(lambda+1)(x))
- N^2=T(n)+T(n-1)
- Narumi polynomials
- Natural number
- Nested radical constant
- Neumann polynomial
- Nielsen-Ramanujan sequence
- Normal cdf
- Normal pdf
- Normalized sinc
- Norton's constant
- Nth derivative of logarithm
- Number theory functions footer
- Omega constant
- Orthogonal polynomials footer
- Orthogonality of Bateman F on R
- Orthogonality of Chebyshev T on (-1,1)
- Orthogonality of Chebyshev U on (-1,1)
- Orthogonality of Gegenbauer C on (-1,1)
- Orthogonality of Laguerre L
- Orthogonality relation for cosine on (0,pi)
- P-adic L function
- P-adic zeta function
- Padovan polynomials
- Paper:Bruce Carl Berndt/Dedekind sums and a paper of G.H. Hardy
- Paper:Carl-Erik Fröberg/On the prime zeta function
- Paper:Charles Watkins Merrifield/The Sums of the Series of the Reciprocals of the Prime Numbers and of Their Powers
- Paper:D.S. McAnally/q-exponential and q-gamma functions. I. q-exponential functions
- Paper:Daniel S. Moak/The q-gamma function for q greater than 1
- Paper:David Zeitlin/On Identities for Fibonacci Numbers
- Paper:Edmund Landau/Sur la série des inverse de nombres de Fibonacci
- Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications
- Paper:Harry Bateman/Some Properties of a certain Set of Polynomials
- Paper:Harry Bateman/The Polynomial Fn(x)
- Paper:Harvey Dubner/Factorial and Primorial Primes
- Paper:James Whitbread Lee Glaisher/On certain definite integrals involving the exponential-integral
- Paper:James Whitbread Lee Glaisher/On the Sums of the Inverse Powers of the Prime Numbers
- Paper:Johann Cigler/q-Fibonacci Polynomials
- Paper:John H. Halton/On a General Fibonacci Identity
- Paper:Lucas Jódar/On the hypergeometric matrix function
- Paper:Maruti Ram Murty/The Fibonacci Zeta Function
- Paper:Matilde Lalín/Secant zeta functions
- Paper:Mittag-Leffler Functions and Their Applications/H.J. Haubold
- Paper:R. M. Corless/On the Lambert W function
- Paper:Richard Askey/The q-Gamma and q-Beta functions
- Paper:Richard E. Crandall/On the quantum zeta function
- Paper:S.L. Basin/A Primer on the Fibonacci Sequence Part I
- Paper:Thomas Clausen/Uber die function sin(φ)+sin(2φ)/2^2+sin(3φ)/3^2+etc.
- Paper:Tom H. Koornwinder/q-Special functions, a tutorial
- Paper:V.E. Hoggatt, Jr/Triangular numbers
- Paper:Yilmaz Simsek/q-Dedekind type sums related to q-zeta function and basic L-series
- Paper folding constant
- Partial derivative of beta function
- Partition
- Partition function
- Pell constant
- Pell constant is irrational
- Period of cosh
- Period of sinh
- Period of tanh
- Period parallelogram
- Periodic function
- Peters polynomials
- Petr function
- Pi
- Pi is irrational
- Pidduck polynomial
- Pincherle polynomials
- Planck's radiation function
- Planck radiation
- Pochhammer
- Pochhammer symbol
- Pochhammer symbol with non-negative integer subscript
- Polar coordinates
- Polygamma
- Polygamma function
- Polygamma functions
- Polygamma multiplication formula
- Polygamma recurrence relation
- Polygamma reflection formula
- Polygamma series representation
- Polygonal numbers footer
- Polylogarithm
- Polylogarithms
- Porter's constant
- Prime counting
- Prime counting function
- Prime number theorem, logarithmic integral
- Prime number theorem, pi and x/log(x)
- Prime zeta P
- Prime zeta function
- Primorial
- Product of Weierstrass elementary factors is entire
- Product representation of q-exponential E sub 1/q
- Product representation of totient
- Product rule
- Product rule for derivatives
- Pure recurrence relation for partition function
- Pythagorean identity for coth and csch
- Pythagorean identity for sin and cos
- Pythagorean identity for sinh and cosh
- Pythagorean identity for tanh and sech
- Q-Bessel functions
- Q-Beta function
- Q-Binomial
- Q-Binomial coefficient
- Q-Binomial function
- Q-Cos
- Q-Euler formula for E sub q
- Q-Euler formula for e sub q
- Q-Factorial
- Q-Fibonacci polynomials
- Q-Gamma
- Q-Gamma at 1
- Q-Gamma at z+1
- Q-Gamma function
- Q-Gaussian distribution
- Q-Hermite polynomial
- Q-Hurwitz zeta
- Q-Pochhammer
- Q-Pochhammer symbol
- Q-Polygamma function
- Q-Sin
- Q-calculus footer
- Q-cos
- Q-cos sub q
- Q-derivative
- Q-derivative of q-Cos
- Q-derivative of q-Cosine
- Q-derivative of q-Sine
- Q-derivative power rule
- Q-difference equation for q-exponential E sub 1/q
- Q-difference equation for q-exponential E sub q
- Q-exponential E
- Q-exponential E sub 1/q
- Q-exponential E sub q
- Q-exponential e
- Q-exponential e sub 1/q
- Q-exponential e sub q
- Q-factorial
- Q-number
- Q-number of a negative
- Q-number when a=n is a natural number
- Q-numbers
- Q-shifted factorial
- Q-sin
- Q-sin sub q
- Q-theta function
- Q-zeta
- Quotient rule
- Quotient rule for derivatives
- Ramanujan's sum
- Ramanujan constant
- Ramanujan tau
- Ramanujan tau inequality
- Ramanujan tau is multiplicative
- Ramanujan tau of a power
- Ramanujan tau of a power of a prime
- Ramanujan theta function
- Ratio test
- Rational number
- Real and imaginary parts of log
- Reciprocal Fibonacci constant
- Reciprocal Riemann zeta
- Reciprocal Riemann zeta in terms of Mobius
- Reciprocal gamma
- Reciprocal gamma function
- Reciprocal gamma is entire
- Reciprocal gamma written as an infinite product
- Reciprocal of Riemann zeta as a sum of Möbius function for Re(z) greater than 1
- Reciprocal of i
- Reciprocal zeta function
- Recurrence relation for Struve fuction
- Recurrence relation for Struve function (2)
- Recurrence relation for partition function
- Recurrence relation for partition function with sum of divisors
- Recurrence relation of exponential integral E
- Relation between polygamma and Hurwitz zeta
- Relationship between Airy Ai and modified Bessel K
- Relationship between Airy Bi and modified Bessel I
- Relationship between Anger function and Bessel J
- Relationship between Anger function and Bessel J sub nu
- Relationship between Anger function and Weber function
- Relationship between Bessel-Clifford and hypergeometric 0F1
- Relationship between Bessel I and Bessel J
- Relationship between Bessel I sub -1/2 and cosh
- Relationship between Bessel I sub 1/2 and cosh
- Relationship between Bessel I sub 1/2 and sinh
- Relationship between Bessel I sub n and Bessel J
- Relationship between Bessel I sub n and Bessel J sub n
- Relationship between Bessel J and hypergeometric 0F1
- Relationship between Bessel J sub n and Bessel J sub -n
- Relationship between Bessel J sub nu and hypergeometric 0F1
- Relationship between Bessel Y sub n and Bessel Y sub -n
- Relationship between Chebyshev T and Gegenbauer C
- Relationship between Chebyshev T and hypergeometric 2F1
- Relationship between Chebyshev U and Gegenbauer C
- Relationship between Chebyshev U and hypergeometric 2F1
- Relationship between Hurwitz zeta and gamma function
- Relationship between Legendre polynomial and hypergeometric 2F1
- Relationship between Lerch transcendent and Lerch zeta
- Relationship between Li 2(-1/x),Li 2(-x),Li 2(-1), and log^2(x)
- Relationship between Li 2(1),Li 2(-1), and pi
- Relationship between Meixner polynomials and Charlier polynomials
- Relationship between Scorer Gi and Airy functions
- Relationship between Scorer Hi and Airy functions
- Relationship between Sievert integral and exponential integral E
- Relationship between Struve function and hypergeometric pFq
- Relationship between Weber function 0 and Struve function 0
- Relationship between Weber function 1 and Struve function 1
- Relationship between Weber function 2 and Struve function 2
- Relationship between Weber function and Anger function
- Relationship between Weber function and Struve function
- Relationship between arcsin and arccsc
- Relationship between arctan and arccot
- Relationship between cos and cosh
- Relationship between cosh, inverse Gudermannian, and sec
- Relationship between cosh and cos
- Relationship between cosh and hypergeometric 0F1
- Relationship between cosine, Gudermannian, and sech
- Relationship between cosine, imaginary number, logarithm, and the golden ratio
- Relationship between cosine and hypergeometric 0F1
- Relationship between cot, Gudermannian, and csch
- Relationship between cot and coth
- Relationship between coth, inverse Gudermannian, and csc
- Relationship between coth and cot
- Relationship between coth and csch
- Relationship between csc, Gudermannian, and coth
- Relationship between csch, inverse Gudermannian, and cot
- Relationship between csch and csc
- Relationship between dilogarithm and log(1-z)/z
- Relationship between exponential integral Ei, cosine integral, and sine integral