A new upper bound for the complete elliptic integral of the first kind
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Publication:6100719
DOI10.1007/s13398-023-01453-3zbMath1524.33081MaRDI QIDQ6100719
Publication date: 22 June 2023
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
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Cites Work
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- Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions
- Inequalities for the Gaussian hypergeometric function
- Asymptotical formulas for Gaussian and generalized hypergeometric functions
- Monotonicity theorems and inequalities for the complete elliptic integrals
- Quadratic transformation inequalities for Gaussian hypergeometric function
- Asymptotic expansions of Mellin convolutions by means of analytic continuation
- Inequalities for means
- Precise estimates for differences of the Gaussian hypergeometric function
- On approximating the arithmetic-geometric mean and complete elliptic integral of the first kind
- Refinements of transformation inequalities for zero-balanced hypergeometric functions
- Landen inequalities for Gaussian hypergeometric function
- A sharp double inequality involving generalized complete elliptic integral of the first kind
- On some refinements for inequalities involving zero-balanced hypergeometric function
- On the bounds of the perimeter of an ellipse
- A sharp lower bound for the complete elliptic integrals of the first kind
- Monotonicity and convexity involving generalized elliptic integral of the first kind
- Sharp bounds for the weighted Hölder mean of the zero-balanced generalized complete elliptic integrals
- Sharp power mean bounds for the lemniscate type means
- Sharp bounds for the arithmetic-geometric mean
- Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity
- Series expansions for the third incomplete elliptic integral via partial fraction decompositions
- Concise high precision approximation for the complete elliptic integral of the first kind
- Inverse Elliptic Functions and Legendre Polynomials
- Asymptotic Expansion of the First Elliptic Integral
- Functional Inequalities for Hypergeometric Functions and Complete Elliptic Integrals
- Sharp inequalities for the complete elliptic integral of the first kind
- Asymptotic Approximations for Symmetric Elliptic Integrals
- Asymptotic Expansions of Symmetric Standard Elliptic Integrals
- Sharp Estimates for Complete Elliptic Integrals
- Concavity and bounds involving generalized elliptic integral of the first kind
- Sharp power mean bounds for the tangent and hyperbolic sine means
- Sharp inequalities for the Toader mean of order -1 in terms of other bivariate means
- Optimal Lehmer mean bounds for the $n$th power-type Toader means of n=-1,1,3
- On the generalized power-type Toader mean
- Reduction and Evaluation of Elliptic Integrals
- Some Series and Bounds for Incomplete Elliptic Integrals
- Auxiliary Table for the Incomplete Elliptic Integrals
- Univalence and convexity properties for Gaussian hypergeometric functions
- Uniform asymptotic expansions of symmetric elliptic integrals
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