The zeros of certain Lommel functions
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Publication:2845734
DOI10.1090/S0002-9939-2012-11139-6zbMath1277.33003MaRDI QIDQ2845734
Martin Lamprecht, Stamatis Koumandos
Publication date: 3 September 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Inequalities for sums, series and integrals (26D15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Trigonometric polynomials, inequalities, extremal problems (42A05) Exponential and trigonometric functions (33B10)
Related Items (13)
On the positivity and zeros of lommel functions: hyperbolic extension and interlacing ⋮ Unnamed Item ⋮ Location of the zeros of certain parametric families of functions of generalized Fresnel integral type ⋮ Turán-Type Inequalities for Some Lommel Functions of the First Kind ⋮ Geometric properties of some Lommel and Struve functions ⋮ Radii of uniform convexity of Lommel and Struve functions ⋮ Complete monotonicity and related properties of some special functions ⋮ Positive trigonometric integrals associated with some Lommel functions of the first kind ⋮ Summations of Schlömilch series containing some Lommel functions of the first kind terms ⋮ Close-to-convexity of some special functions and their derivatives ⋮ Radii of starlikeness of some special functions ⋮ On the curves of zeros of Lommel functions of two variables ⋮ On Hurwitz zeta function and Lommel functions
Cites Work
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- On a conjecture for trigonometric sums and starlike functions
- Positive Gegenbauer polynomial sums and applications to starlike functions
- An extension of Vietoris's inequalities
- Über den allgemeinen Integralsinus \(Si(z,\alpha)\)
- High precision computation of a constant in the theory of trigonometric series
- Integral representations for the exceptional univariate Lommel functions
- Positivity of some basic cosine sums
- Complete monotonicity and related properties of some special functions
- The Sign of Lommel's Function
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