- Asymptotic expansions of integral means and applications to the ratio of\n gamma functions
2013/12/05 by Neven Elezović, Elezović, Neven, Lenka Vukšić +1 · 1 citation
Mathematics · #33B15 #41A60 #Applied mathematics #Asymptotic analysis #Asymptotic expansion #Bivariate analysis #Class (philosophy) #Classical Analysis and ODEs (math.CA) #Computer science #Daniell integral #Digamma function #FOS: Mathematics #Fourier integral operator #Gamma function #Integral equation #Iterative Methods for Nonlinear Equations #Mathematical Inequalities and Applications #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Multiple integral #Riemann hypothesis #Riemann integral #Statistics #Volume integral #math.CA #msc:33B15 #msc:41A60
- On aq-gamma and a q-beta matrix functions
2011/11/25 by Ahmed Salem · 2 citations
Mathematics · #Advanced Mathematical Identities #Algebra over a field #BETA (programming language) #Combinatorics #Computer science #Eigenvalues and eigenvectors #Function (biology) #Gamma function #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Mathematics #Matrix (chemical analysis) #Matrix function #Physics #Pure mathematics #Symmetric matrix
- Contributions to the theory of the Hurwitz zeta-function
2007/01/01 by Shigeru Kanemitsu, Yoshio Tanigawa, Haruo Tsukada +1 · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Mathematical functions and polynomials #Ramanujan's sum #Mathematics #Riemann zeta function #Pure mathematics #Functional equation #Mathematical proof #Function (biology) #Euler's formula #Series (stratigraphy) #Gamma function #Number theory #Arithmetic zeta function #Combinatorics #Mathematical analysis #Differential equation
- Asymptotic and exact series representations for the incomplete Gamma function
2005/01/10 by Paolo Amore · 1 citation
Mathematics · Physics and Astronomy · #Alternating series #Applied mathematics #Asymptotic analysis #Asymptotic expansion #Convergent series #Electromagnetic Scattering and Analysis #Function (biology) #Function series #Gamma function #Incomplete gamma function #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Power series #Series (stratigraphy) #Series expansion #Statistics #Value (mathematics) #math-ph #math.MP
- Numerical Representations of the Incomplete Gamma Function of Complex-Valued Argument
2004/07/01 by Richard J. Mathar · 1 citation
Mathematics · #Advanced Mathematical Identities #Algorithm #Applied mathematics #Discrete mathematics #Function (biology) #Function representation #Gamma function #Incomplete gamma function #Integer (computer science) #Laurent series #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Mathematics and Applications #Numerical analysis #Power series #Pure mathematics #Representation (politics) #Series (stratigraphy) #Theory of computation
- The dilogarithm function for complex argument
2003/11/08 by L. C. Maximon · 2 citations
Mathematics · #Advanced Mathematical Identities #History and Theory of Mathematics #Mathematics and Applications #Mathematics #Polylogarithm #Euler's formula #Function (biology) #Hypergeometric function #Applied mathematics #Pure mathematics #Gamma function #Quadratic equation #Special functions #Algebra over a field #Calculus (dental) #Mathematical analysis #Riemann zeta function #Arithmetic zeta function #Prime zeta function
- A note on the recursive calculation of incomplete gamma functions
1999/03/01 by Walter Gautschi · 2 citations
Mathematics · #Functional Equations Stability Results #Advanced Optimization Algorithms Research #Fuzzy Systems and Optimization #Recursion (computer science) #Limiting #Mathematics #Recurrence relation #Range (aeronautics) #Applied mathematics #Incomplete gamma function #Mathematical analysis #Pure mathematics #Algorithm #Gamma function #Materials science
- On certain generalized incomplete gamma functions
1998/05/01 by Allen R. Miller, Ira S. Moskowitz · 1 citation
Mathematics · #Bessel function #Combinatorics #Fractional Differential Equations Solutions #Function (biology) #Functional Equations Stability Results #Gamma function #Incomplete gamma function #Lipschitz continuity #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Pure mathematics
- A new algorithm for the evaluation of the incomplete gamma function on vector computers
1994/12/01 by Herbert Früchtl, P. Otto · 1 citation
Computer Science · Mathematics · #Matrix Theory and Algorithms #Mathematical functions and polynomials #Numerical Methods and Algorithms #Computation #Algorithm #Function (biology) #Incomplete gamma function #Computer science #Gamma function #Vector-valued function #Mathematics #Applied mathematics #Mathematical analysis
- Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind
1992/01/01 by Jonathan M. Borwein, I. J. Zucker · 2 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Applied mathematics #Electromagnetic Scattering and Analysis #Elliptic curve #Elliptic function #Elliptic integral #Elliptic rational functions #Fractional Differential Equations Solutions #Function (biology) #Gamma function #Jacobi elliptic functions #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Pure mathematics #Quadratic growth #Quarter period #Rational function
- Computation of the incomplete gamma function ratios and their inverse
1986/12/01 by A. R. DiDonato, Alfred H. Morris · 2 citations
Computer Science · Mathematics · #Numerical Methods and Algorithms #Iterative Methods for Nonlinear Equations #Mathematical and Theoretical Analysis #Computation #Mathematics #Applied mathematics #Inverse #Function (biology) #Algorithm #Newton's method #Set (abstract data type) #Incomplete gamma function #Gamma function #Mathematical analysis #Computer science #Physics
- Numerical calculation of incomplete gamma functions by the trapezoidal rule
1986/07/01 by Giampietro Allasia, Renata Besenghi, R. Besenghi · 1 citation
Computer Science · Mathematics · #Applied mathematics #Arithmetic #Backward Euler method #Calculus (dental) #Euler equations #Euler's formula #Fractional Differential Equations Solutions #Function (biology) #Gamma function #Incomplete gamma function #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Matrix Theory and Algorithms #Numerical analysis #Numerical integration #Remainder #Representation (politics) #Simple (philosophy) #Trapezoidal rule
- On the computation of incomplete gamma functions in the complex domain
1985/05/01 by William B. Jones, W.J. Thron, W. J. Thron · 1 citation
Mathematics · #Algorithm #Applied mathematics #Computation #Connection (principal bundle) #Convergence (economics) #Domain (mathematical analysis) #Error function #Exponential function #Fractional Differential Equations Solutions #Function (biology) #Gamma function #Geometry #Incomplete gamma function #Iterative Methods for Nonlinear Equations #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Padé approximant #Round-off error #Truncation (statistics) #Truncation error
- The Gamma Function and the Hurwitz Zeta-Function
1985/02/01 by Bruce C. Berndt · 1 citation
Mathematics · #Analytic Number Theory Research #Advanced Mathematical Identities #Mathematical functions and polynomials #Function (biology) #Riemann zeta function #Gamma function #Mathematics #Pure mathematics #Biology #Cell biology
- The generalized integro-exponential function
1985/01/01 by Michael Milgram · 1 citation
Mathematics · Decision Sciences · #Iterative Methods for Nonlinear Equations #Probabilistic and Robust Engineering Design #Advanced Optimization Algorithms Research #Mathematics #Exponential function #Exponential integral #Applied mathematics #Minimax #Incomplete gamma function #Function (biology) #Computation #Exponential formula #Order (exchange) #Gamma function #Double exponential function #Calculus (dental) #Mathematical analysis #Mathematical optimization #Integral equation #Line integral #Algorithm
- The determination of incomplete gamma functions through analytic integration
1979/04/01 by Riho Terras · 2 citations
Decision Sciences · Mathematics · #Algebra over a field #Analytic continuation #Analytic function #Applied mathematics #Bessel function #Bessel polynomials #Computer science #Continuation #Fourier series #Gamma function #Generalized hypergeometric function #Hypergeometric function #Jacobi polynomials #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Orthogonal polynomials #Pure mathematics #Scientific Measurement and Uncertainty Evaluation #Series (stratigraphy) #Special functions #Struve function
- Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function
1975/01/01 by N. M. Temme · 2 citations
Engineering · Computer Science · Mathematics · #Control Systems and Identification #Target Tracking and Data Fusion in Sensor Networks #Mathematical Analysis and Transform Methods #Mathematics #Incomplete gamma function #Asymptotic expansion #Function (biology) #BETA (programming language) #Series (stratigraphy) #Asymptotic analysis #Gamma function #Beta function (physics) #Error function #Mathematical analysis #Applied mathematics #Algorithm
- A Generalization of the Gamma Distribution
1962/09/01 by E. W. Stacy · 62 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories #Applied mathematics #Class (philosophy) #Convolution (computer science) #Corollary #Dirichlet distribution #Distribution (mathematics) #Exponent #Exponential function #Function (biology) #Gamma function #Generalization #Generalized integer gamma distribution #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Moment-generating function #Probability distribution #Pure mathematics #Series (stratigraphy) #Statistical Mechanics and Entropy #Statistics