Class information for:
Level 1: MATHIEU SERIES//DIFFERINTEGRAL EQUATIONS//GENERALIZED LEIBNIZ RULE

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
29485 185 15.7 27%



Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
2653 2             BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 3465
29485 1                   MATHIEU SERIES//DIFFERINTEGRAL EQUATIONS//GENERALIZED LEIBNIZ RULE 185

Terms with highest relevance score



rank Term termType Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 MATHIEU SERIES authKW 1980678 6% 100% 12
2 DIFFERINTEGRAL EQUATIONS authKW 1815622 6% 100% 11
3 GENERALIZED LEIBNIZ RULE authKW 1485503 6% 75% 12
4 INDEX LAW authKW 1215413 5% 82% 9
5 LINEARITY PROPERTY authKW 1056359 4% 80% 8
6 BESSEL FUNCTION OF THE FIRST KIND authKW 880296 4% 67% 8
7 KAPTEYN SERIES authKW 880296 4% 67% 8
8 ALTERNATING MATHIEU SERIES authKW 825283 3% 100% 5
9 GENERALIZED MATHIEU SERIES authKW 825283 3% 100% 5
10 FUCHSIAN AND NON FUCHSIAN DIFFERENTIAL EQUATIONS authKW 660226 2% 100% 4

Web of Science journal categories



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 Mathematics, Applied 3985 58% 0% 107
2 Mathematics 1980 45% 0% 83
3 Physics, Mathematical 175 9% 0% 17
4 Mathematics, Interdisciplinary Applications 54 4% 0% 8
5 Automation & Control Systems 35 3% 0% 6
6 Engineering, General 24 3% 0% 6
7 Statistics & Probability 23 3% 0% 6
8 Engineering, Geological 12 1% 0% 2
9 Physics, Multidisciplinary 12 5% 0% 10
10 Education & Educational Research 9 2% 0% 4

Address terms



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 MARITIME STUDIES 347839 16% 7% 30
2 ALKALMAZOTT MATEMAT INTEZET 165057 1% 100% 1
3 DIDADACT ANDRE REVUZ 165057 1% 100% 1
4 LEHR 4 165057 1% 100% 1
5 NAT WISSEN LICHE FAK 3 165057 1% 100% 1
6 NATURWISSEN K 3 165057 1% 100% 1
7 NATURWISSNE AFTL FAK 3 165057 1% 100% 1
8 PRIOR COMP ASSISTED MATH ITS PLIC 165057 1% 100% 1
9 BIMRC 55018 1% 33% 1
10 NIPNE 55018 1% 33% 1

Journals



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 52948 11% 2% 20
2 EDUCATIONAL STUDIES IN MATHEMATICS 5404 2% 1% 4
3 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 4075 2% 1% 3
4 AMERICAN MATHEMATICAL MONTHLY 2985 4% 0% 7
5 JOURNAL OF MATHEMATICAL INEQUALITIES 2685 2% 1% 3
6 APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS 2441 1% 1% 2
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2256 9% 0% 17
8 JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 1790 3% 0% 6
9 COMPUTERS & MATHEMATICS WITH APPLICATIONS 1714 5% 0% 10
10 APPLIED MATHEMATICS LETTERS 1524 4% 0% 7

Author Key Words



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
LCSH search Wikipedia search
1 MATHIEU SERIES 1980678 6% 100% 12 Search MATHIEU+SERIES Search MATHIEU+SERIES
2 DIFFERINTEGRAL EQUATIONS 1815622 6% 100% 11 Search DIFFERINTEGRAL+EQUATIONS Search DIFFERINTEGRAL+EQUATIONS
3 GENERALIZED LEIBNIZ RULE 1485503 6% 75% 12 Search GENERALIZED+LEIBNIZ+RULE Search GENERALIZED+LEIBNIZ+RULE
4 INDEX LAW 1215413 5% 82% 9 Search INDEX+LAW Search INDEX+LAW
5 LINEARITY PROPERTY 1056359 4% 80% 8 Search LINEARITY+PROPERTY Search LINEARITY+PROPERTY
6 BESSEL FUNCTION OF THE FIRST KIND 880296 4% 67% 8 Search BESSEL+FUNCTION+OF+THE+FIRST+KIND Search BESSEL+FUNCTION+OF+THE+FIRST+KIND
7 KAPTEYN SERIES 880296 4% 67% 8 Search KAPTEYN+SERIES Search KAPTEYN+SERIES
8 ALTERNATING MATHIEU SERIES 825283 3% 100% 5 Search ALTERNATING+MATHIEU+SERIES Search ALTERNATING+MATHIEU+SERIES
9 GENERALIZED MATHIEU SERIES 825283 3% 100% 5 Search GENERALIZED+MATHIEU+SERIES Search GENERALIZED+MATHIEU+SERIES
10 FUCHSIAN AND NON FUCHSIAN DIFFERENTIAL EQUATIONS 660226 2% 100% 4 Search FUCHSIAN+AND+NON+FUCHSIAN+DIFFERENTIAL+EQUATIONS Search FUCHSIAN+AND+NON+FUCHSIAN+DIFFERENTIAL+EQUATIONS

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.



Rank Reference # ref.
in cl.
Shr. of ref. in
cl.
Citations
1 BARICZ, A , POGANY, TK , (2013) INTEGRAL REPRESENTATIONS AND SUMMATIONS OF THE MODIFIED STRUVE FUNCTION.ACTA MATHEMATICA HUNGARICA. VOL. 141. ISSUE 3. P. 254 -281 16 67% 1
2 WANG, PY , LIN, SD , TU, ST , (2007) A SURVEY OF FRACTIONAL-CALCULUS APPROACHES TO THE SOLUTIONS OF THE BESSEL DIFFERENTIAL EQUATION OF GENERAL ORDER.APPLIED MATHEMATICS AND COMPUTATION. VOL. 187. ISSUE 1. P. 544-555 11 100% 1
3 JANKOV, D , POGANY, T , (2014) ON COEFFICIENTS OF KAPTEYN-TYPE SERIES.MATHEMATICA SLOVACA. VOL. 64. ISSUE 2. P. 403-410 10 91% 1
4 CHOI, J , SRIVASTAVA, HM , (2010) MATHIEU SERIES AND ASSOCIATED SUMS INVOLVING THE ZETA FUNCTIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 59. ISSUE 2. P. 861-867 12 80% 2
5 BARICZ, A , JANKOV, D , POGANY, TK , (2011) INTEGRAL REPRESENTATION OF FIRST KIND KAPTEYN SERIES.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 52. ISSUE 4. P. - 10 91% 2
6 WANG, PY , LIN, SD , SRIVASTAVA, HM , (2006) REMARKS ON A SIMPLE FRACTIONAL-CALCULUS APPROACH TO THE SOLUTIONS OF THE BESSEL DIFFERENTIAL EQUATION OF GENERAL ORDER AND SOME OF ITS APPLICATIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 51. ISSUE 1. P. 105-114 10 100% 10
7 LIN, SD , LING, WC , NISHIMOTO, K , SRIVASTAVA, HM , (2005) A SIMPLE FRACTIONAL-CALCULUS APPROACH TO THE SOLUTIONS OF THE BESSEL DIFFERENTIAL EQUATION OF GENERAL ORDER AND SOME OF ITS APPLICATIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 49. ISSUE 9-10. P. 1487-1498 9 100% 8
8 HOORFAR, A , QI, F , (2007) SOME NEW BOUNDS FOR MATHIEU'S SERIES.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 8 100% 2
9 MILLER, AR , (1998) INCOMPLETE LIPSCHITZ-HANKEL INTEGRALS OF ANGER AND WEBER FUNCTIONS.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 28. ISSUE 1. P. 311-322 10 100% 0
10 WANG, PY , LIN, SD , SRIVASTAVA, HM , (2008) EXPLICIT SOLUTIONS OF JACOBI AND GAUSS DIFFERENTIAL EQUATIONS BY MEANS OF OPERATORS OF FRACTIONAL CALCULUS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 199. ISSUE 2. P. 760 -769 9 75% 1

Classes with closest relation at Level 1



Rank Class id link
1 20173 OFF OUTER SPACE AFFAIRS//H FUNCTION//GENERALIZED WRIGHT FUNCTION
2 33219 BLOCH LAW//BELOV ARROTT PLOTS//BOND INTERACTIONS
3 34168 POWER RADIATION INTEGRALS//CIRCULAR SHAPE ANTENNA//CONFORMAL SLOTTED WAVEGUIDE ANTENNAS
4 23214 LAGRANGE POLYNOMIALS//KAMPE DE FERIET FUNCTION//LAGRANGE HERMITE POLYNOMIALS
5 27376 EQUIVALENT FORM//HILBERTS INEQUALITY//HILBERT TYPE INEQUALITY
6 12595 UNIFORM ASYMPTOTIC EXPANSION//ZEROS//TURAN TYPE INEQUALITIES
7 12598 GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION
8 12370 MULTIPLE ZETA VALUES//HURWITZ ZETA FUNCTION//EULER SUMS
9 26795 KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS
10 35656 PYRAMIDAL HORN//PYRAMIDAL HORN DESIGN//FRINGE CURRENT

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