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Everything about Lommel function
In mathematics, the Lommel differential equation, named after Eugen von Lommel, is an inhomogeneous form of the Bessel differential equation Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Lommel functionA 5-minute orientation
- Skim a recent paper: Geometric characterization of the generalized Lommel–Wright function in the open unit discInfluential work since 2022
- Pick up a classic book: Tables of Lommel's functions of two pure imaginary variablesThe most-reprinted book on the subject
- Read the landmark paper: On the Zeros of the Hahn-Exton q-Bessel Function and Associated q-Lommel PolynomialsCited 88 times
- Go sideways: Anger functionA closely related topic
- Go sideways: Lommel polynomialA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
No outline available.
🏆 Landmark papers (most cited)
On the Zeros of the Hahn-Exton q-Bessel Function and Associated q-Lommel Polynomials
HARDY SPACE OF LOMMEL FUNCTIONS
The zeros of certain Lommel functions
Generalized Lommel–Wright function and its geometric properties
A Remark on the Fractional Integral Operators and the Image Formulas of Generalized Lommel–Wright Function
On some geometric properties for the combination of generalized Lommel–Wright function
Lommel functions with imaginary argument
The Monotony of the Lommel Functions
🆕 Influential since 2022
Geometric characterization of the generalized Lommel–Wright function in the open unit disc
Monotonicity patterns and functional inequalities for modified Lommel functions of the first kind
Integral Representations and Zeros of the Lommel Function and the Hypergeometric $$_1F_2$$ Function
Application on Fuzzy Third-Order Subordination and Superordination Connected with Lommel Function
Bounds for an Integral Involving the Modified Lommel Function of the First Kind
📚 Books worth reading
Tables of Lommel's functions of two pure imaginary variablesL. S. Bark · 1965- 📕Tabellen der Lommelschen Funktionen U₁ (w, z) und U₂ (w, z) zweier veränderlicher sowie abgeleiteter FunktionenGeorg Hebermehl · 1965
- 📕A numerical table of Lommel functions with two imaginary argumentsEdward W. Ng · 1968
- 📕Tables of the Anger and Lommel-Weber functionsGary Dale Bernard · 1962
- 📕Tables of the Anger and Lommel-Weber functionsGary D. Bernard · 1962
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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