Notations P
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,
,
,
,
,
,
- Painlevé transcendents; §32.2(i)
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- total number of partitions of ; §26.2
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- alternative notation for the complementary error function; §7.1
(with : complementary error function)
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- number of partitions of into at most parts; §26.9(i)
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- Legendre polynomial; Table 18.3.1
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- shifted Legendre polynomial; Table 18.3.1
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- Ferrers function of the first kind; §14.2(ii)
(with : Ferrers function of the first kind)
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- Legendre function of the first kind; §14.2(ii)
(with : associated Legendre function of the first kind)
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- notation used by Batchelder (1967, p. 63); §8.1
(with : incomplete gamma function)
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- conical function; §14.20(i)
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- Jacobi polynomial; Table 18.3.1
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- notation used by Szegő (1975, §4.7); §18.1(iii)
(with : ultraspherical (or Gegenbauer) polynomial)
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- notation used by Erdélyi et al. (1953a), Olver (1997b); §14.1
(with : Ferrers function of the first kind)
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- Ferrers function of the first kind; 14.3.1
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- notation used by Magnus et al. (1966); §14.1
(with : Ferrers function of the first kind)
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- associated Legendre function of the first kind; §14.21(i)
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- notation used by Magnus et al. (1966); §14.1
(with : associated Legendre function of the first kind)
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- normalized incomplete gamma function; 8.2.4
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- restricted number of partions of ; §26.10(i)
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- Weierstrass -function; §23.1
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- number of partitions of into at most parts, each less than or equal to ; §26.9(i)
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- number of partitions of into at most distinct parts; §26.10(i)
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- notation used by Curtis (1964a); Curtis (1964a):
(with : regular Coulomb function and
: factorial (as in ))
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- associated Legendre polynomial; 18.30.6
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- Meixner–Pollaczek polynomial; §18.19
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- triangle polynomial; 18.37.7
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- associated Jacobi polynomial; 18.30.4
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- notation used by Abramowitz and Stegun (1964, Chapter 17); §19.1
(with : Legendre’s incomplete elliptic integral of the third kind)
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- Weierstrass -function; 23.3.8
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- Pollaczek polynomial; 18.35.4
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- little -Jacobi polynomial; 18.27.13
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- big -Jacobi polynomial; 18.27.6
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- continuous Hahn polynomial; §18.19
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- big -Jacobi polynomial; 18.27.5
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- Askey–Wilson polynomial; 18.28.1
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- Riemann’s -symbol for solutions of the generalized hypergeometric differential equation; 15.11.3
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- phase; 1.9.7
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- Euler’s totient; 27.2.7
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- Airy phase function; §9.8(i)
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- alternative notation for the complementary error function; §7.1
(with : complementary error function)
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- sum of powers of integers relatively prime to ; 27.2.6
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- phase of derivatives of Bessel functions; 10.18.3
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- Jacobi function; 15.9.11
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- notation used by (Truesdell, 1945); §25.12(ii)
(with : polylogarithm)
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- combined theta function; §20.11(v)
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- cuspoid catastrophe of codimension ; 36.2.1
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- notation used by Humbert (1920); §13.1
(with :
Kummer confluent hypergeometric function)
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- generalized Bessel function; 10.46.1
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- Lerch’s transcendent; 25.14.1
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- elliptic umbilic catastrophe; 36.2.2
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- hyperbolic umbilic catastrophe; 36.2.3
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- elliptic umbilic catastrophe for ; §36.2(i)
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- first -Appell function; 17.4.5
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- second -Appell function; 17.4.6
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- third -Appell function; 17.4.7
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- fourth -Appell function; 17.4.8
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or
- basic hypergeometric (or -hypergeometric) function; 17.4.1
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- the ratio of the circumference of a circle to its diameter; 3.12.1
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- set of plane partitions; §26.12(i)
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- number of primes not exceeding ; 27.2.2
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- notation used by Gauss; §5.1
(with : gamma function)
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- notation used by Herz (1955, p. 480); §35.1
(with : multivariate gamma function)
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- Legendre’s complete elliptic integral of the third kind; 19.2.8
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- notation used by Abramowitz and Stegun (1964, Chapter 17); §19.1
(with : Legendre’s complete elliptic integral of the third kind)
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- notation used by Erdélyi et al. (1953b, Chapter 13); §19.1
(with : Legendre’s complete elliptic integral of the third kind)
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- Legendre’s incomplete elliptic integral of the third kind; 19.2.7
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- notation used by Erdélyi et al. (1953b, Chapter 13); §19.1
(with : Legendre’s incomplete elliptic integral of the third kind)
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- number of plane partitions of ; §26.12(i)
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- generic Jacobian elliptic function; 22.2.10
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- spheroidal wave function of the first kind; §30.4(i)
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- notation used by Meixner and Schäfke (1954) for the spheroidal wave function of the first kind; §30.1
(with : spheroidal wave function of the first kind)
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- notation used by Meixner and Schäfke (1954) for the spheroidal wave function of complex argument; §30.1
(with : spheroidal wave function of complex argument)
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- spheroidal wave function of complex argument; §30.6
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- Chebyshev -function; 25.16.1
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- notation used by Davis (1933); §5.1
(with : psi (or digamma) function)
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- notation used by Gauss, Jahnke and Emde (1945); §5.1
(with : psi (or digamma) function)
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- psi (or digamma) function; 5.2.2
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- canonical integral function; 36.2.4
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- Pearcey integral; 36.2.14
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- elliptic umbilic canonical integral function; 36.2.5
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- hyperbolic umbilic canonical integral function; 36.2.5
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- polygamma functions; §5.15
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- umbilic canonical integral function; 36.2.5
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- diffraction catastrophe; 36.2.10
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- elliptic umbilic canonical integral function; 36.2.11
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- hyperbolic umbilic canonical integral function; 36.2.11
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- umbilic canonical integral function; 36.2.11
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- confluent hypergeometric function of matrix argument (second kind); 35.6.2
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- notation used by Erdélyi et al. (1953a, §6.5); §13.1
(with : Kummer confluent hypergeometric function)
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or
- bilateral basic hypergeometric (or bilateral -hypergeometric) function; 17.4.3