Shabde, N. G. On some results involving Legendre and Bessel functions. (English) JFM 65.1214.03 Proc. Benares Math. Soc. 1, 55-59 (1939). MSC: 33C45 33C10 PDFBibTeX XMLCite \textit{N. G. Shabde}, Proc. Benares Math. Soc. (N.S.) 1, 55--59 (1939; JFM 65.1214.03)
Shabde, N. G. On some integrals involving associated Legendre functions. (English) JFM 65.1214.02 Bull. Calcutta Math. Soc. 31, 87-90 (1939). MSC: 33C45 PDFBibTeX XMLCite \textit{N. G. Shabde}, Bull. Calcutta Math. Soc. 31, 87--90 (1939; JFM 65.1214.02)
Shabde, N. G. On some series and integrals involving \(k_n\) functions. (English) JFM 65.1212.02 J. Indian Math. Soc. (2) 3, 307-311 (1939). Reviewer: Volk, O., Prof. (Würzburg) MSC: 33C45 PDFBibTeX XMLCite \textit{N. G. Shabde}, J. Indian Math. Soc., New Ser. 3, 307--311 (1939; JFM 65.1212.02)
Shabde, N. G. On some formulae involving \(k_n\)-functions. (English) JFM 64.0344.02 Bull. Calcutta Math. Soc. 30, 5-8 (1938). Reviewer: Erdélyi, A., Dr. (Edinburgh) MSC: 33C45 PDFBibTeX XMLCite \textit{N. G. Shabde}, Bull. Calcutta Math. Soc. 30, 5--8 (1938; JFM 64.0344.02)
Shabde, N. G. On some results involving \(k_n\)-functions. (English) JFM 64.0344.01 J. Indian Math. Soc. (2) 3, 146-151 (1938). Reviewer: Erdélyi, A., Dr. (Edinburgh) MSC: 33C45 33C15 PDFBibTeX XMLCite \textit{N. G. Shabde}, J. Indian Math. Soc., New Ser. 3, 146--151 (1938; JFM 64.0344.01)
Shabde, N. G. The expansion of a function in a series of associated Legendre functions. (English) JFM 64.0240.01 Proc. Indian Acad. Sci. A 7, 319-320 (1938). Reviewer: Erdélyi, A., Dr. (Edinburgh) MSC: 33C45 PDFBibTeX XMLCite \textit{N. G. Shabde}, Proc. Indian Acad. Sci., Sect. A 7, 319--320 (1938; JFM 64.0240.01)
Korous, J. On the development of a function of one real variable in certain series of orthogonal polynomials. (Über die Entwicklung einer Funktion einer reellen Veränderlichen nach gewissen orthogonalen Polynomen.) (Czech) JFM 65.1215.01 Rozpravy České Akad. II 48, No. 1, 1-12 (1938). Reviewer: Jarník, V., Prof. (Prag) MSC: 33C45 PDFBibTeX XML
Schaginjan, A. L. Sur la théorie des polynomes orthogonaux à poids dans le plan de la variable complexe. (French) JFM 63.0260.01 C. R. Acad. Sci. URSS (2) 15, 425-428 (1937). Reviewer: Heuser, P., Dr. (Darmstadt) MSC: 33C45 PDFBibTeX XMLCite \textit{A. L. Schaginjan}, C. R. (Dokl.) Acad. Sci. URSS, n. Ser. 15, 425--428 (1937; JFM 63.0260.01)
Venkatachaliengar, K. Generalisation of Jacobi’s \(\Theta \)-function formulae. (English) JFM 60.1057.02 J. Indian Math. Soc., New Ser. 1, 23-28 (1934). Reviewer: Krafft, M., Prof. (Marburg) MSC: 11F27 11A07 33C45 15A04 PDFBibTeX XMLCite \textit{K. Venkatachaliengar}, J. Indian Math. Soc., New Ser. 1, 23--28 (1934; JFM 60.1057.02)
Bell, E. T. Exponential polynomials. (English) JFM 60.0295.01 Ann. Math. (2) 35, 258-277 (1934). Reviewer: Hahn, W., Dr. (Berlin) MSC: 33C45 33C65 05A40 PDFBibTeX XMLCite \textit{E. T. Bell}, Ann. Math. (2) 35, 258--277 (1934; JFM 60.0295.01) Full Text: DOI
Krawtchouk, M. Sur une généralisation des polynômes d’Hermite. (French) JFM 55.0799.01 C. R. 189, 620-622 (1929). Reviewer: Szegö, Prof. G. (Saint Louis) MSC: 33C45 PDFBibTeX XMLCite \textit{M. Krawtchouk}, C. R. Acad. Sci., Paris 189, 620--622 (1929; JFM 55.0799.01) Full Text: Gallica
Akhiezer, N. Über einige Funktionen, die in gegebenen Intervallen am wenigsten von Null abweichen. (German) JFM 57.1430.02 Bull. Soc. Phys.-Math. Kazan (3) 3, No. 2, 1-69 (1928). Reviewer: Maier, Wilhelm, Prof. (Greifswald) MSC: 33E05 42C05 PDFBibTeX XMLCite \textit{N. Akhiezer}, Bull. Soc. Phys.-Math. Kazan, III. Ser. 3, No. 2, 1--69 (1928; JFM 57.1430.02)
Uspensky, J. V. On the development of arbitrary functions in series of Hermite’s and Laguerre’s polynomials. (English) JFM 53.0270.01 Ann. Math. (2) 28, 593-619 (1927). Reviewer: Fekete, M., Prof. (Jerusalem) MSC: 33C45 PDFBibTeX XMLCite \textit{J. V. Uspensky}, Ann. Math. (2) 28, 593--619 (1927; JFM 53.0270.01) Full Text: DOI
Menchoff, D. Sur les séries de fonctions orthogonales. III. (French) JFM 53.0267.03 Fundam. Math. 10, 375-420 (1927). Reviewer: Plessner, A., Dr. (Berlin) MSC: 40A30 33C45 42C05 PDFBibTeX XMLCite \textit{D. Menchoff}, Fundam. Math. 10, 375--420 (1927; JFM 53.0267.03) Full Text: DOI EuDML
Menchoff, D. Sur les séries de fonctions orthogonales. II. (French) JFM 52.0277.01 Fundam. Math. 8, 56-108 (1926). Reviewer: Rosenthal, A., Prof. (Heidelberg) MSC: 40A30 33C45 42C05 PDFBibTeX XMLCite \textit{D. Menchoff}, Fundam. Math. 8, 56--108 (1926; JFM 52.0277.01) Full Text: DOI EuDML
Szegö, G. Beiträge zur Theorie der Laguerreschen Polynome. II: Zahlentheoretische Anwendungen. (German) JFM 52.0175.03 Math. Z. 25, 388-404 (1926). Reviewer: Rothe, Hildegard, Dr. geb. Ille (Breslau) MSC: 11P21 33C45 PDFBibTeX XMLCite \textit{G. Szegö}, Math. Z. 25, 388--404 (1926; JFM 52.0175.03) Full Text: DOI EuDML
Walsh, J. L. A closed set of normal orthogonal functions. (English) JFM 49.0293.03 Am. J. Math. 45, 5-24 (1923). Reviewer: Hellinger, Prof. (Frankfurt a. M.) MSC: 42C05 PDFBibTeX XMLCite \textit{J. L. Walsh}, Am. J. Math. 45, 5--24 (1923; JFM 49.0293.03) Full Text: DOI Link
Menchoff, D. Sur les séries de fonctions orthogonales. I: La convergence. (French) JFM 49.0293.01 Fundam. Math. 4, 82-105 (1923). Reviewer: Rosenthal, Prof. (Heidelberg) MSC: 40A30 33C45 42C05 PDFBibTeX XMLCite \textit{D. Menchoff}, Fundam. Math. 4, 82--105 (1923; JFM 49.0293.01) Full Text: DOI EuDML
MacMahon, P. A. Permutations, lattice permutations, and the hypergeometric series. (English) JFM 47.0060.03 Lond. M. S. Proc. (2) 19(1920-21), 216-227 (1920). Reviewer: Szegö, Prof. (Berlin) MSC: 05A05 33C45 PDFBibTeX XMLCite \textit{P. A. MacMahon}, Proc. Lond. Math. Soc. (2) 19, 216--227 (1920; JFM 47.0060.03) Full Text: DOI
Szegö, G. Über Orthogonalsysteme von Polynomen. (German) JFM 47.0335.01 Math. Z. 4, 139-161 (1919). Reviewer: Faber, Prof. (München) MSC: 33C45 PDFBibTeX XMLCite \textit{G. Szegö}, Math. Z. 4, 139--161 (1919; JFM 47.0335.01) Full Text: DOI EuDML
Szegö, G. Ein Beitrag zur Theorie der Polynome von Laguerre und Jacobi. (German) JFM 46.0583.04 Math. Z. 1, 341-356 (1918). Reviewer: Szász, Prof. (Frankfurt am Main) MSC: 33C45 PDFBibTeX XMLCite \textit{G. Szegö}, Math. Z. 1, 341--356 (1918; JFM 46.0583.04) Full Text: DOI EuDML
Uspenskij, Ja. V. Über die Entwicklung willkürlicher Funktionen nach Polynomen \(e^x\dfrac{d^nx^ne^{-x}}{dx^n}\). (Russian) JFM 48.1385.01 Petrograd, Bull. Acad. Sci. (6) 10, 1173-1202 (1916); 10, 1322 (1916). Reviewer: U., (Mathematische Gesellschaft in Leningrad) MSC: 33C45 PDFBibTeX XMLCite \textit{Ja. V. Uspenskij}, Leningrad, Bull. Ac. Sc. (6) 10, 1173--1202 (1916; JFM 48.1385.01)
Kampé de Fériet, J. Sur les fonctions hypersphériques. (French) JFM 45.0713.04 Paris: Gauthier-Villars et Cie (1915). MSC: 33-01 33C55 33C45 PDFBibTeX XML
Nielsen, N. Recherches sur les fonctions métasphériques et sur leurs formules d’addition. (French) JFM 39.0529.01 Ann. Sci. Éc. Norm. Supér. (3) 25, 371-398 (1908). Reviewer: Wangerin, Prof. (Halle a. S.) MSC: 33C45 PDFBibTeX XMLCite \textit{N. Nielsen}, Ann. Sci. Éc. Norm. Supér. (3) 25, 371--398 (1908; JFM 39.0529.01) Full Text: DOI Numdam EuDML
Nielsen, N. Sur les séries de fonctions sphériques et hypergéométriques. (French) JFM 38.0485.01 Ann. sc. Ac. Polyt. Porto 2, 5-18 (1907). Reviewer: Wangerin, Prof. (Halle a. S.) MSC: 33C45 PDFBibTeX XML
Nielsen, N. Sur les formules d’addition des fonctions sphériques. (French) JFM 38.0484.02 C. R. Acad. Sci., Paris 144, 477-479 (1907). Reviewer: Wangerin, Prof. (Halle a. S.) MSC: 33C45 PDFBibTeX XMLCite \textit{N. Nielsen}, C. R. Acad. Sci., Paris 144, 477--479 (1907; JFM 38.0484.02) Full Text: Gallica
Nielsen, N. Sur la généralisation d’une formule de Dirichlet. (French) JFM 38.0484.01 Rend. Circ. Mat. Palermo 23, 53-57 (1907). Reviewer: Wangerin, Prof. (Halle a. S.) MSC: 33C45 PDFBibTeX XMLCite \textit{N. Nielsen}, Rend. Circ. Mat. Palermo 23, 53--57 (1907; JFM 38.0484.01) Full Text: DOI
Gegenbauer, L. On the partial denominators of regular continued fractions. (Ueber die Näherungsnenner regulärer Kettenbrüche.) (German) JFM 26.0234.02 Monatsh. f. Math. VI, 209-219 (1895). Reviewer: Müller, R., Dr. (Berlin) MSC: 40A15 33C47 PDFBibTeX XMLCite \textit{L. Gegenbauer}, Monatsh. Math. Phys. 6, 209--219 (1895; JFM 26.0234.02) Full Text: DOI
Catalan, E. Estratto di una lettera al Direttore del Giornale. (Italian) JFM 25.0408.02 Battaglini G. 31, 227-228 (1893). Reviewer: Weltzien, Prof. (Zehlendorf) MSC: 33C45 PDFBibTeX XMLCite \textit{E. Catalan}, Battaglini G. 31, 227--228 (1893; JFM 25.0408.02)
Seeliger, H. On the interpolatory of a function by a series of spherical functions. (Ueber die interpolatorische Darstellung einer Function durch eine nach Kugelfunctionen fortschreitende Reihe.) (German) JFM 22.0395.02 Münch. Ber. XX. 499-511 (1890). Reviewer: Hurwitz, Prof. (Zürich) MSC: 42C10 PDFBibTeX XML
Catalan, E. New properties of the functions \(X_n\). (Nouvelles propriétés des fonctions \(X_n\).) (French) JFM 21.0513.04 Belg. Mém. XLVII, Supplément, 24 p. (1889). Reviewer: Mansion, Prof. (Gent) (Lampe, Prof. (Berlin)) MSC: 33C45 PDFBibTeX XML
Catalan, E. New properties of the functions \(X_n\). (Nouvelles propriétés des fonctions \(X_n\).) (French) JFM 21.0513.03 Ibid. 12 S. [Belg. Mém. XLVII.] (1889). MSC: 33C45 PDFBibTeX XML
Catalan, E. Second note on the functions \(X_n\). (Seconde note sur les fonctions \(X_n\).) (French) JFM 21.0513.02 Belg. Mém. XLVII. 12 S. (1889). MSC: 33C45 PDFBibTeX XML
Hobson, E. W. On a class of spherical harmonics of complex degree with application to physical problems. (English) JFM 21.0512.01 Cambr. Trans. XIV. 211-236 (1889). Reviewer: Gutzmer, A. (Berlin) MSC: 33C45 PDFBibTeX XML
Bryan, G. H. On the expression of spherical harmonics of the second kind in a finite form. (English) JFM 21.0511.02 Cambr. Proc. VI, 293-297 (1889). Reviewer: Gutzmer, A. (Berlin) MSC: 33C45 PDFBibTeX XMLCite \textit{G. H. Bryan}, Proc. Camb. Philos. Soc. 6, 293--297 (1889; JFM 21.0511.02)
Gegenbauer, L. On the functions \(C_n^\nu(x)\). (Ueber die Functionen \(C_n^\nu(x)\).) (German) JFM 20.0499.01 Wien. Ber. 97, 259-270 (1888). Reviewer: Wangerin, Prof. (Halle a.S.) MSC: 33C55 33C45 PDFBibTeX XMLCite \textit{L. Gegenbauer}, Wien. Ber. 97, 259--270 (1888; JFM 20.0499.01)
Pellet, A. On Fourier’s formula and its analogues. (Sur la formule de Fourier et ses analogues.) (French) JFM 20.0496.03 C. R. CVI, 1062-1065 (1888). Reviewer: Hoppe, Prof. (Berlin) MSC: 33C45 PDFBibTeX XMLCite \textit{A. Pellet}, C. R. Acad. Sci., Paris 106, 1062--1065 (1888; JFM 20.0496.03) Full Text: Gallica
Deruyts, J. On a class of polynomials analogous to Legendre functions. (Sur une classe de polynômes analogues aux functions de Legendre.) (French) JFM 20.0496.01 Liège Mém. (2) XIV. 15 S. (1888). Reviewer: Mansion, Prof. (Gent) (Lampe, Prof. (Berlin)) MSC: 33C45 PDFBibTeX XML
Brand, E. Note on the theory of the function \(X_n\) of Legendre. (Notice sur la théorie de la fonction \(X_n\) de Legendre.) (French) JFM 19.0509.02 Paris. Gauthier-Villars (1887). MSC: 33C45 PDFBibTeX XML
Cayley, A. Note on the Legendrian coefficients of the second kind. (English) JFM 19.0509.01 Mess. (2) XVII. 21-23 (1887). Reviewer: Glaisher, Prof. (Cambridge) (Lampe, Prof. (Berlin)) MSC: 33C45 PDFBibTeX XML
Zanotti Bianco, O. Some theorems on Legendre coefficients. (Aleuni teoremi sui coefficienti di Legendre.) (Italian) JFM 19.0507.02 Torino Atti XXII, 225-239 (1887). Reviewer: Wangerin, Prof. (Halle a. S.) MSC: 33C45 PDFBibTeX XMLCite \textit{O. Zanotti Bianco}, Torino Atti 22, 225--239 (1887; JFM 19.0507.02)
Catalan, E. On the functions \(X_n\) of Legendre (Third treatise). (Sur les fonctions \(X_n\) de Legendre (Troisième Mémoire).) (French) JFM 18.0426.02 Belg. Mém. XLVI. 28 S. (1886). Reviewer: Mansion, Prof. (Gent) MSC: 33C45 PDFBibTeX XML
Teixeira, F. G. On a limit concerning Legendre polynomials. (Sur une limite relative aux polynômes de Legendre.) (French) JFM 19.0507.01 Prag. Ber. 19-20 (1886). Reviewer: Wangerin, Prof. (Halle a. S.) MSC: 33C45 PDFBibTeX XML
Andreieff, K. A. On the expansion of a function into a series with respect to functions which are similar to Legendre’s functions. (Ueber die Entwickelung einer Function in eine Reihe nach Functionen, die den Legendre’schen ähnlich sind.) (Russian) JFM 17.0500.01 St. Petersb. Abh. LI (1885). Reviewer: Wassilieff, A., Dr. (Kazan) MSC: 33C45 PDFBibTeX XML
Deruyts, J. On the functions \(X_n\) of Legendre. (Sur les fonctions \(X_n\) de Legendre.) (French) JFM 17.0496.01 Liège Mém. (2) XI. 22 Seiten (1885). Reviewer: Mansion, Prof. (Gent) (Lampe, Prof. (Berlin)) MSC: 33C45 PDFBibTeX XML
Laguerre, E. On the reduction to continued fractions of a rational function which satisfies a linear first order differential equation with ratioanl coefficients. (Sur la réduction en fractions continues d’une fraction qui satisfait à une équation différentielle linéaire du premier ordre dont les coefficients sont rationnels.) (French) JFM 17.0174.01 Jordan J. (4) I, 135-165 (1885). MSC: 40A15 33C45 PDFBibTeX XMLCite \textit{E. Laguerre}, Journ. de Math. (4) 1, 135--165 (1885; JFM 17.0174.01) Full Text: EuDML
Posse, C. On the functions which are similar to the Legendre functions. (Ueber die Functionen, welche den Legendre’schen ähnlich sind.) (Russian) JFM 18.0430.01 Chark. Ges. II. 155-169 (1885). Reviewer: Wassilieff, A., Prof. (Kazan) MSC: 33C45 PDFBibTeX XML
Gegenbauer, L. On the theory of the functions \(C_n^\nu(x)\). (Zur Theorie der Functionen \(C_n^\nu(x)\).) (German) JFM 16.0452.02 Wien. Denkschr. 48, 293-316 (1884). Reviewer: Wangerin, Prof. (Halle a.S.) MSC: 33C45 33C55 PDFBibTeX XMLCite \textit{L. Gegenbauer}, Wien. Denkschr. 48, 293--316 (1884; JFM 16.0452.02)
Hermite, Ch. On the Legendre polynomials. (Sur les polynômes de Legendre.) (French) JFM 16.0452.01 Teixeira J. VI. 81-84 (1884). Reviewer: Teixeira, Prof. (Coimbra) (Henoch, Dr. (Berlin)) MSC: 33C45 PDFBibTeX XML
Papperitz, E. On related \(s\) functions. (Ueber verwandte \(s\)-Functionen.) (German) JFM 17.0377.01 Klein Ann. XXV, 212-221 (1884); XXVI, 97-105 (1885). Reviewer: Hurwitz, Prof. (Königsberg i. Pr.) MSC: 33C45 PDFBibTeX XMLCite \textit{E. Papperitz}, Math. Ann. 25, 212--221 (1884; JFM 17.0377.01) Full Text: DOI EuDML
Markoff, A. A. Determination of a function which, between certain limits, differs least from zero. (Bestimmung einer Function, welche zwischen bestimmten Grenzen am mindesten von Null abweicht.) (Russian) JFM 17.0369.01 Chark. Ges. 1884, 83-92 (1884). Reviewer: Wassilieff, A., Dr. (Kazan) MSC: 33C65 42C05 41A50 PDFBibTeX XML
Hugoniot On functions of one variable analogous to the Legendre polynomials. (Sur des fonctions d’une seule variable analogues aux polynômes de Legendre.) (French) JFM 14.0330.02 C. R. XCV, 983-986 (1883). Reviewer: Müller, F., Dr. (Berlin) MSC: 33C47 PDFBibTeX XMLCite \textit{Hugoniot}, C. R. Acad. Sci., Paris 95, 983--986 (1883; JFM 14.0330.02) Full Text: Gallica
Mansion, P. Report. (Rapport.) (French) JFM 15.0446.02 I. C. A. 68-69 (1883). Reviewer: Mansion, Prof. (Gent)(Lampe, Prof. (Berlin)) MSC: 33C45 PDFBibTeX XML
Biervlich, A. van Note on some general properties of the functions \(X_n\). (Note sur quelques propriétés générales des fonctions \(X_n\).) (French) JFM 15.0446.01 Brux. S. sc. VII. B. 402-408 (1883). MSC: 33C45 PDFBibTeX XML
Goursat, E. Memoir on hypergeometric functions of higher order. (Mémoire sur les fonctions hypergéométriques d’ordre supérieur.) (French) JFM 15.0275.01 Ann. de l’Éc. Norm. (2) 12, 261-287 (1883); 12, 395-430 (1883). MSC: 33C50 PDFBibTeX XMLCite \textit{E. Goursat}, Ann. de l'Éc. Norm. (2) 12, 261--287 (1883; JFM 15.0275.01) Full Text: Numdam Numdam EuDML
Stuart, G. A. Note on the connexion between Legendre’s coefficients and the complete elliptic integral of the first kind. (English) JFM 16.0406.01 Mess. (2) XIII. 161-163 (1883). Reviewer: Glaisher, Prof. (Cambridge) (Müller, F., Prof. (Berlin)) MSC: 33E05 33C45 PDFBibTeX XML
Hugoniot On the expansion of functions in series of other functions. (Sur le développment des fonctions en séries d’autres fonctions.) (French) JFM 14.0330.01 C. R. XCIV, 907-909 (1882). Reviewer: Müller, F., Dr. (Berlin) MSC: 33C47 PDFBibTeX XMLCite \textit{Hugoniot}, C. R. Acad. Sci., Paris 94, 907--909 (1882; JFM 14.0330.01) Full Text: Gallica
Laguerre On a property of Legendre’s polynomials \(X_n\). (Sur une propriété des polynômes \(X_n\) de Legendre.) (French) JFM 12.0396.01 C. R. XCI, 849-851 (1881). Reviewer: Wangerin, Prof. (Halle a.S.) MSC: 33C45 PDFBibTeX XMLCite \textit{Laguerre}, C. R. Acad. Sci., Paris 91, 849--851 (1881; JFM 12.0396.01) Full Text: Gallica
Webb, R. R. On Legendre’s coefficients. (English) JFM 11.0189.03 Messenger (2) IX. 125-126 (1880). Reviewer: Glaisher, Prof. (Cambridge) (Ohrtmann, Dr. (Berlin)) MSC: 05E35 33C45 PDFBibTeX XML
Routh, E. J. On functions analogous to Laplace’s functions. (English) JFM 12.0397.01 Proc. L. M. S. XI, 92-102 (1880). Reviewer: Wangerin, Prof. (Halle a.S.) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{E. J. Routh}, Proc. Lond. Math. Soc. 11, 92--102 (1880; JFM 12.0397.01) Full Text: DOI Link
Routh, E. J. A method of constructing by pure analysis functions \(X,\; Y\), etc., which possess the property that \(\int XYd\sigma =0\), and such that any given function can be expanded in the form \(\alpha X+\beta Y+\gamma Z+\dotsm \). (English) JFM 11.0347.01 Proc. L. M. S. X, 146-167 (1879). Reviewer: Wangerin, Prof. (Berlin) MSC: 42C05 PDFBibTeX XMLCite \textit{E. J. Routh}, Proc. Lond. Math. Soc. 10, 146--167 (1879; JFM 11.0347.01) Full Text: DOI
Niemöller. On an application of the spherical functions. (Ueber eine Anwendung der Kugelfunctionen.) (German) JFM 11.0346.01 Schlömilch Z. XXIV, 57-61 (1879). Reviewer: Wangerin, Prof. (Berlin) MSC: 42C10 PDFBibTeX XMLCite \textit{Niemöller}, Schlömilch Z. 24, 57--61 (1879; JFM 11.0346.01)
Neumann, F. On a new property of Laplace’s \(Y^{(n)}\) and their application to the analytic representation of those phenomena which are functions of the geographic longitude and latitude. (Ueber eine neue Eigenschaft der Laplace’schen \(Y^{(n)}\) und ihre Anwendung zur analytischen Darstellung derjenigen Phänomene, welche Functionen der geographischen Länge und Breite sind.) (German) JFM 11.0343.02 Clebsch Ann. XV, 567-576 (1879). Reviewer: Wangerin, Prof. (Berlin) MSC: 42-03 42C10 PDFBibTeX XMLCite \textit{F. Neumann}, Math. Ann. 15, 567--576 (1879; JFM 11.0343.02) Full Text: DOI
Escary Demonstration of the convergence of a double series encountered by Lamé in his researches in mathematical physics. (Démonstration de la convergence d’une série double rencontrée par Lamé dans ses recherches de physique mathématique.) (French) JFM 11.0343.01 C. R. LXXXVIII, 558-562 (1879). Reviewer: Wangerin, Prof. (Berlin) MSC: 42C10 PDFBibTeX XMLCite \textit{Escary}, C. R. Acad. Sci., Paris 88, 558--562 (1879; JFM 11.0343.01) Full Text: Gallica
St.-Germain, A. de On series expansions of which the the terms are Laplace’s \(Y_n\) functions. (Sur les développements en séries dont les termes sont les fonctions \(Y_n\) de Laplace.) (French) JFM 11.0341.01 C. R. LXXXVIII, 1186-1188 (1879); C. R. LXXXVIII, 1313-1314 (1879). Reviewer: Wangerin, Prof. (Berlin) MSC: 42C10 PDFBibTeX XMLCite \textit{A. de St. -Germain}, C. R. Acad. Sci., Paris 88, 1186--1188 (1879; JFM 11.0341.01) Full Text: Gallica
Darboux, G. Treatise on the approximation of functions of very large numbers and on a class comprising series expansions. (Mémoire sur l’approximation des fonctions de très-grands nombres, et sur une classe étendue de développements en série.) (French) JFM 10.0279.01 Liouville J. (3) 4, 5-56 (1878); 4, 377-416 (1878). Reviewer: Müller, F., Dr. (Berlin) MSC: 42A16 33C45 PDFBibTeX XMLCite \textit{G. Darboux}, Resal J. (3) 4, 5--56 (1878; JFM 10.0279.01) Full Text: EuDML Gallica
Voss, A. About orthogonal substitutions. (Ueber orthogonale Substitutionen.) (German) JFM 10.0103.02 Clebsch Ann. XIII, 320-373 (1878). Reviewer: Voss, Prof. (Dresden) MSC: 15A04 33C50 08A35 15A63 12E12 51A10 14H37 46B04 PDFBibTeX XMLCite \textit{A. Voss}, Math. Ann. 13, 320--373 (1878; JFM 10.0103.02) Full Text: DOI EuDML
Schläfli, L. On the convergence of the expansion of an arbitrary function \(f(x)\) in terms of the Bessel functions \[ J^{a}(\beta x), \; J^{a}(\beta_{2}x), \; J^{a}(\beta_{3}x), \ldots , \] where \(\beta_{1}, \beta_{2}, \beta_{3}, \ldots\) are the positive roots of the equation \(J^{a}(\beta) = 0\) . (Ueber die Convergenz der Entwickelung einer arbiträren Function \(f(x)\) nach den Bessel’schen Functionen \[ J^{a}(\beta x), \; J^{a}(\beta_{2}x), \; J^{a}(\beta_{3}x), \ldots , \] wo \(\beta_{1}, \beta_{2}, \beta_{3}, \ldots\) die positiven Wurzeln der Gleichung \(J^{a}(\beta) = 0\) vorstellen.) (German) JFM 08.0310.02 Clebsch Ann. X, 137-142 (1876). Reviewer: Müller, F., Dr. (Berlin) MSC: 42C10 33C10 PDFBibTeX XMLCite \textit{L. Schläfli}, Math. Ann. 10, 137--142 (1876; JFM 08.0310.02) Full Text: DOI
Darboux, G. Treatise on the approximation of functions of very large numbers and on a class comprising series expansions. (Mémoire sur l’approximation des fonctions de très-grands nombres et sur une classe étendue de développements en série. Extrait par l’auteur.) (French) JFM 08.0304.02 C. R. 82, 365-368 (1876); 82, 404-406 (1876). Reviewer: Müller, F., Dr. (Berlin) MSC: 42A16 33C45 PDFBibTeX XMLCite \textit{G. Darboux}, C. R. Acad. Sci., Paris 82, 365--368 (1876; JFM 08.0304.02) Full Text: Gallica
Frombeck, H. On the extension of the theory of spherical functions and the methods of expanding functions in infinite sseries arising from them. (Ueber eine Erweiterung der Lehre von den Kugelfunctionen und die hierbei entspringenden Entwicklungsarten einer Function in unendliche Reihen.) (German) JFM 06.0295.02 Wien. Ber. LXX. Sep. Abz. 1-35 (1874). Reviewer: Müller, Dr. (Berlin) MSC: 42C10 PDFBibTeX XMLCite \textit{H. Frombeck}, Wien. Ber. 70, 1--35 (1874; JFM 06.0295.02)
Darboux, G. On the series of which the general term depends on two angles and which can be used to represent arbitrary functions between given bounds. (Sur les séries dont le terme général dépend de deux angles et qui servent à exprimer les fonctions arbitraires entre des limites données.) (French) JFM 06.0290.01 Liouville J. (2) XIX, 1-18 (1874). Reviewer: Hoppe, Prof. (Berlin) MSC: 42C10 PDFBibTeX XMLCite \textit{G. Darboux}, Liouville J. (2) 19, 1--18 (1874; JFM 06.0290.01) Full Text: EuDML
Dini, U. On the uniqueness of the expansion of functions of one variable in series of functions \(X_n\). (Sulla unicità degli sviluppi delle funzioni di una variabile in serie di funzioni \(X_n\).) (Italian) JFM 06.0297.01 Brioschi Ann. (2) VI, 216-225 (1873,1875). Reviewer: Müller, Dr. (Berlin) MSC: 42C10 PDFBibTeX XMLCite \textit{U. Dini}, Annali di Mat. (2) 6, 216--225 (1873; JFM 06.0297.01) Full Text: DOI
Dini, U. On the series of spherical functions. (Sopra le serie di funzioni sferiche.) (Italian) JFM 06.0296.01 Brioschi Ann. (2) VI, 112-140 (1873,1875); VI, 208-215 (1873,1875). Reviewer: Müller, Dr. (Berlin) MSC: 42C10 PDFBibTeX XMLCite \textit{U. Dini}, Annali di Mat. (2) 6, 112--140 (1873; JFM 06.0296.01) Full Text: DOI
Chebyshev, P. L. On the interpolation of equidistant quantities. (Ueber die Interpolation aequidistanter Grössen.) (Russian) JFM 06.0247.01 Petersb. Gel. Anz. 25 (1873). Reviewer: von Posse, Dr. (Petersburg) MSC: 42C05 33C47 PDFBibTeX XML
Faure, H. Theorems of geometry. (Théorèmes de géométrie.) (French) JFM 04.0337.01 Nouv. Ann. (2) XI. 444-450 (1872). Reviewer: Scholz, Dr. (Berlin) MSC: 51N15 51N35 14Hxx 11Cxx PDFBibTeX XML Full Text: EuDML
Didon, F. Expansions in series of polynomials in an arbitrary number of variables. (Développements sur certaines séries de polynomes à un nombre quelconque de variables.) (French) JFM 02.0304.02 Ann. de l’Éc. Norm. VII, 247-268 (1870). Reviewer: Müller, Felix, Dr. (Berlin) MSC: 33C50 PDFBibTeX XMLCite \textit{F. Didon}, Ann. de l'Éc. Norm. 7, 247--268 (1870; JFM 02.0304.02) Full Text: DOI Numdam EuDML
Chebyshev, P. L. On functions related to Legendre functions. (Des fonctions semblables à celles de Legendre.) (French) JFM 02.0157.03 J. de l. Soc. phil. de Moscou IV (1869). Reviewer: Zolotareff, Prof. (Petersburg) (transl. by Ohrtmann, Dr. (Berlin)) MSC: 33C45 PDFBibTeX XML