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Concept in mathematics
A Lommel polynomial Rm,ν(z) is a polynomial in 1/z giving the recurrence relation J m + ν ( z ) = J ν ( z ) R m , ν ( z ) − J ν − 1 ( z ) R m − 1 , ν
Lommel_polynomial
Topics referred to by the same term
function introduced by Eugen von Lommel Lommel polynomial, a polynomial introduced by Eugen von Lommel Léon Lommel (1893–1978), Luxembourgian prelate
Lommel_(disambiguation)
Mathematics concept
Neumann polynomial Lommel polynomial Hankel transform Fourier–Bessel series Krall, H. L.; Frink, O. (1948). "A New Class of Orthogonal Polynomials: The Bessel
Bessel_polynomials
Joseph von Lommel (1837–1899), physicist: Lommel polynomial, Lommel function, Lommel–Weber function Ian G. Macdonald: Macdonald polynomial, Macdonald–Kostka
List of eponyms of special functions
List_of_eponyms_of_special_functions
where pFq is a generalized hypergeometric function. Anger function Lommel polynomial Struve function Weber function Watson's "Treatise on the Theory of
Lommel_function
German physicist (1837–1899)
Joseph von Lommel (19 March 1837, Edenkoben – 19 June 1899, Munich) was a German physicist. He is notable for the Lommel polynomial, the Lommel function
Eugen_von_Lommel
_{k=0}J_{s+2k+1}(z),} are of the same type. Bessel function Bessel polynomial Lommel polynomial Hankel transform Fourier–Bessel series Abramowitz and Stegun
Neumann_polynomial
Family of solutions to related differential equations
transform Lentz's algorithm Lerche–Newberger sum rule Lommel function Lommel polynomial Neumann polynomial Schlömilch's series Sonine formula Struve function
Bessel_function
"On the zeros of the Hahn-Exton q-Bessel function and associated q-Lommel polynomials", Journal of Mathematical Analysis and Applications, 186 (3): 690–710
Hahn–Exton_q-Bessel_function
Family of power series in mathematics
elementary functions, Bessel functions, and the classical orthogonal polynomials. A hypergeometric series is formally defined as a power series β 0 +
Generalized hypergeometric function
Generalized_hypergeometric_function
Special function in mathematics
first revealing a nice connection between the Hurwitz zeta function and the Lommel functions. When a is a rational number, Hurwitz's formula leads to the following
Hurwitz_zeta_function
ISBN 978-1-4612-4140-9, S2CID 124998083 Koelink, H. T. (1993), "Hansen-Lommel Orthogonality Relations for Jackson's q-Bessel Functions", Journal of Mathematical
Jackson_q-Bessel_function
with the generalized functions, Mathieu functions of different kinds and Lommel's functions of two variables) than Green's function method. In some cases
Spacetime triangle diagram technique
Spacetime_triangle_diagram_technique
LOMMEL POLYNOMIAL
LOMMEL POLYNOMIAL
Boy/Male
British, English
Dearly Loved
Girl/Female
American, Australian, British, English
Crowned with Laurels; Modern Variant of Lora and Laurie Referring to the Laurel Tree; Sweet Bay Tree Symbolic of Honor and Victory
Boy/Male
Shakespearean
King Richard III' Lord Lovel.
Surname or Lastname
English
English : unexplained.
Surname or Lastname
English
English : occupational name for an illuminator of manuscripts, from Middle English luminour, lymnour, Old French enlumineor, illumineor.German : habitational name from any of several places so named in northern Germany or, in Bavaria, from Lindemer and Lindmaier (see Lindenmeyer).Dutch : from a Germanic personal name composed of liut ‘people’ + mar ‘famous’, ‘renowned’. Compare Lemmer.
Male
Irish
Variant spelling of Irish Gaelic Lomán, LOMMÃN means "little bare one."Â
Girl/Female
English
Modernand Laurie referring to the laurel tree or sweet bay tree symbolic of honor and victory.
Male
Yiddish
(לֶעמְל) Yiddish name LEMEL means "little lamb; meek."
Female
English
 Variant spelling of English Summer, SOMMER means "summer." Compare with another form of Sommer.
Boy/Male
French
Little wolf.
Boy/Male
Hebrew American Biblical
Devoted to God. The hero (Lemuel Gulliver) of Jonathan Swift's satire, 'Gulliver's Travels'.
Surname or Lastname
English (also found in Ireland)
English (also found in Ireland) : from a pet form of Lamb 1 and 2.
Female
German
 German equivalent of English Summer, SOMMER means "summer." Compare with another form of Sommer.
Boy/Male
American, Christian, French, Hawaiian, Hebrew, Hindu, Indian
Beloging to God; Devoted to the Lord
Surname or Lastname
English
English : from an Old English personal name, either Lēodmǣr or Lēofmǣr, from lēod ‘people’, ‘tribe’ or lēof ‘beloved’ + mǣr ‘famous’.German : from the personal name Lambert.
Male
English
Variant spelling of English Lovell, LOVEL means "little wolf."
Surname or Lastname
German and Dutch
German and Dutch : variant spelling of Kommer.English : unexplained.
Surname or Lastname
English
English : probably a variant spelling of Rimel.German : variant of Rimmele, from Rümelin, a pet form of the Germanic personal name Ruombald, a compound of hruom ‘glory’ + balt ‘bold’, ‘brave’.
Surname or Lastname
English and Irish
English and Irish : variant of Summer.German and Danish : from Middle German sumer, Danish, Norwegian sommer ‘summer’, a nickname for someone of a warm disposition, or for someone associated with the season in some other way or from living in a sunny place, in some instances a metonymic occupational name for a basketweaver or a drummer, from Middle High German sum(b)er, sum(m)er ‘basket’, ‘basketry’, ‘drum’.Jewish (Ashkenazic) : ornamental name from German Sommer ‘summer’. Like the other seasonal names, this was also one of the group of names that were bestowed on Jews more or less at random by government officials in 18th- and 19th-century central Europe.
Male
English
Anglicized form of Hebrew Lemuwel, LEMUEL means "by God" or "for God." In the bible, this is the name of an unknown king, possibly Solomon. It is also the name of the main character (Lemuel Gulliver) in Jonathan Swift's English novel Gulliver's Travels.Â
LOMMEL POLYNOMIAL
LOMMEL POLYNOMIAL
Female
Japanese
(1-亮, 2-é¼, 3-è«’, 4-涼) Japanese unisex name RYO means 1) "brightness," 2) "distant," 3) "reality," 4) "refreshing."
Boy/Male
Tamil
Padmakant | பதà¯à®®à®•à®¾à®‚த
Husband of lotus Sun
Male
Welsh
Welsh myth name of the Lord of Annwn ("un-world; under-world"), possibly ARAWN means "unrestrained wildness."
Boy/Male
Muslim
Arranger, Adjuster
Boy/Male
Hindu
Teacher of devas, Jupiter, Guru planet
Female
English
Variant spelling of English Jennifer, JENIFER means "white and smooth."
Girl/Female
Australian, French, Jamaican
The Popular Perfume Chanel; Channel; Pipe
Male
English
Anglicized form of Hebrew unisex Abiyah, ABIJAH means "Yahweh is my father." In the bible, this is the name of a son of Samuel, the mother of Hezekiah, a member of the tribe of Benjamin, a king of Judah, and several other characters.Â
Boy/Male
Arabic, Muslim
Another Name for the Quran; Speech; Conversation
Boy/Male
American, Gaelic, Hindu, Indian
Small and Fair; One who Reads the Banns; Blond Child; Small Fair One or Son of the Fair One
LOMMEL POLYNOMIAL
LOMMEL POLYNOMIAL
LOMMEL POLYNOMIAL
LOMMEL POLYNOMIAL
LOMMEL POLYNOMIAL
v. t.
To beat with the knuckles; to pommel.
n.
A knob or ball; an object resembling a ball in form
p. pr. & vb. n
of Compel
n.
The knob on the hilt of a sword.
n.
A pommel.
v. t.
To beat soundly, as with the pommel of a sword, or with something knoblike; hence, to beat with the fists.
n.
The knob or protuberant part of a saddlebow.
a.
Having no awns or no horns; as, hummelcorn; a hummel cow.
n.
A knob forming the finial of a turret or pavilion.
n.
The top (of the head).
imp. & p. p.
of Compel
n.
One who loses by sloth or neglect; a worthless person; a lorel.
imp. & p. p.
of Pommel
a.
Tending to compel; compulsory.
a.
Hornless. See Hummel.
n. & v. t.
Same as Pommel.
v. t.
To injure, as by beating; to pommel.
p. pr. & vb. n.
of Pommel