On convexity and power series expansion for logarithm of normalized tail of power series expansion for square of tangent
DOI10.7153/jmi-2024-18-51zbMath1547.41028MaRDI QIDQ6618759
Publication date: 15 October 2024
Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)
convexitysquarelogarithmderivative formularatiomonotonicity ruletangentMaclaurin power series expansionnormalized tail
Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Elementary functions (26A09) One-variable calculus (26A06) Exponential and trigonometric functions (33B10)
Cites Work
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- Monotonicity and inequalities for the gamma function
- A ratio of finitely many gamma functions and its properties with applications
- Decreasing properties of two ratios defined by three and four polygamma functions
- Monotonicity and complete monotonicity of some functions involving the modified Bessel functions of the second kind
- Power expansions of powers of trigonometric functions and series containing Bernoulli and Euler polynomials
- Delta L'Hospital-, Laplace- and variable limit-type monotonicity rules on time scales
- Monotonicity rules for the ratio of two function series and two integral transforms
- Generalized fraction rules for monotonicity with higher antiderivatives and derivatives
- A series expansion of a logarithmic expression and a decreasing property of the ratio of two logarithmic expressions containing cosine
- On normalized tails of series expansion of generating function of Bernoulli numbers
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