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Record Nr. |
UNINA9910818970703321 |
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Autore |
Chalkley Roger <1931-> |
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Titolo |
Basic global relative invariants for homogeneous linear differential equations / / Roger Chalkley |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2002] |
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©2002 |
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ISBN |
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Descrizione fisica |
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1 online resource (223 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 744 |
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Disciplina |
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Soggetti |
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Differential equations, Linear |
Invariants |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 156, number 744 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 197-199) and index. |
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Nota di contenuto |
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""Chapter 4. L[sub(n)] and I[sub(n,i)] as Semi-Invariants of the First Kind""""Chapter 5. V[sub(n)] and J[sub(n,i)] as Semi-Invariants of the Second Kind""; ""Chapter 6. The Coefficients of Transformed Equations""; ""6.1. Alternative formulas for c**[sub(i)](Ï?) in (1.5)""; ""6.2. The coefficients of a composite transformation""; ""6.3. Several examples""; ""6.4. Proof of an old observation""; ""6.5. Conditions for transformed equations""; ""6.6. Formulas for later reference""; ""Chapter 7. Formulas That Involve L[sub(n)](z) or I[sub(n,n)](z)"" |
""7.1. The coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""""7.2. Derivatives for the coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""; ""7.3. Identities for the coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""; ""Chapter 8. Formulas That Involve V[sub(n)](z) or J[sub(n,n)](z)""; ""8.1. The coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""; ""8.2. Derivatives for the coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0"" |
""8.3. Identities for the coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""""Chapter 9. Verification of I[sub(n,n)] â?¡ J[sub(n,n)]and Various Observations""; ""9.1. Proof for the first part of the Main Theorem in Chapter 1""; ""9.2. Global sets""; ""9.3. A fourth type of invariant: an absolute invariant""; ""9.4. Laguerre-Forsyth canonical |
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forms""; ""Chapter 10. The Local Constructions of Earlier Research""; ""10.1. Standard techniques""; ""10.2. An improved computational procedure""; ""10.3. Hindrances to earlier research"" |
""Chapter 11. Relations for G[sub(i)], H[sub(i)], and L[sub(i)] That Yield Equivalent Formulas for Basic Relative Invariants"" |
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